%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP355-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n019.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 16:54:27 EDT 2024

% Result   : Unsatisfiable 20.66s 20.94s
% Output   : Proof 20.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GRP355-1 : TPTP v8.2.0. Released v2.5.0.
% 0.04/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 26 17:27:39 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.59/10.77  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.59/15.79  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.56/20.82  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.66/20.94  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.3I3ImXPvE6/cvc5---1.0.5_14901.smt2
% 20.66/20.94  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.3I3ImXPvE6/cvc5---1.0.5_14901.smt2
% 20.66/21.01  (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 20.66/21.01  (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 20.66/21.01  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (assume a3 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)))
% 20.66/21.01  (assume a4 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)))
% 20.66/21.01  (assume a5 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 20.66/21.01  (assume a6 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)))
% 20.66/21.01  (assume a7 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)))
% 20.66/21.01  (assume a8 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)))
% 20.66/21.01  (assume a9 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)))
% 20.66/21.01  (assume a10 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)))
% 20.66/21.01  (assume a11 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)))
% 20.66/21.01  (assume a12 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 20.66/21.01  (assume a13 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)))
% 20.66/21.01  (assume a14 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)))
% 20.66/21.01  (assume a15 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)))
% 20.66/21.01  (assume a16 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)))
% 20.66/21.01  (assume a17 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)))
% 20.66/21.01  (assume a18 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)))
% 20.66/21.01  (assume a19 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 20.66/21.01  (assume a20 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)))
% 20.66/21.01  (assume a21 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)))
% 20.66/21.01  (assume a22 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)))
% 20.66/21.01  (assume a23 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)))
% 20.66/21.01  (assume a24 (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c6)) (not (= (tptp.multiply X5 tptp.sk_c8) X4)) (not (= (tptp.inverse X5) tptp.sk_c8)))))
% 20.66/21.01  (step t1 (cl (not (= (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule equiv_pos2)
% 20.66/21.01  (step t2 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule refl)
% 20.66/21.01  (step t3 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule refl)
% 20.66/21.01  (step t4 (cl (= (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule refl)
% 20.66/21.01  (step t5 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule refl)
% 20.66/21.01  (step t6 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule refl)
% 20.66/21.01  (step t7 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule refl)
% 20.66/21.01  (step t8 (cl (= (= (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) true) (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule equiv_simplify)
% 20.66/21.01  (step t9 (cl (not (= (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) true)) (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule equiv1 :premises (t8))
% 20.66/21.01  (step t10 (cl (= (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))))) :rule all_simplify)
% 20.66/21.01  (step t11 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule refl)
% 20.66/21.01  (step t12 (cl (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule all_simplify)
% 20.66/21.01  (step t13 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule cong :premises (t11 t12))
% 20.66/21.01  (step t14 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) true)) :rule all_simplify)
% 20.66/21.01  (step t15 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) true)) :rule trans :premises (t13 t14))
% 20.66/21.01  (step t16 (cl (= (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) true)) :rule trans :premises (t10 t15))
% 20.66/21.01  (step t17 (cl (= (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t9 t16))
% 20.66/21.01  (step t18 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule refl)
% 20.66/21.01  (step t19 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule refl)
% 20.66/21.01  (step t20 (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)
% 20.66/21.01  (step t21 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule refl)
% 20.66/21.01  (step t22 (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)
% 20.66/21.01  (step t23 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))))) :rule refl)
% 20.66/21.01  (step t24 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule refl)
% 20.66/21.01  (step t25 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))))) :rule refl)
% 20.66/21.01  (step t26 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))))) :rule refl)
% 20.66/21.01  (step t27 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))))) :rule refl)
% 20.66/21.01  (step t28 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))))) :rule refl)
% 20.66/21.01  (step t29 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))))) :rule refl)
% 20.66/21.01  (step t30 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))))) :rule refl)
% 20.66/21.01  (step t31 (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)
% 20.66/21.01  (step t32 (cl (= (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule refl)
% 20.66/21.01  (step t33 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule refl)
% 20.66/21.01  (step t34 (cl (= (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule cong :premises (t2 t3 t4 t5 t6 t7 t17 t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32 t33))
% 20.66/21.01  (step t35 (cl (not (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) (not (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule equiv_pos2)
% 20.66/21.01  (step t36 (cl (= (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule refl)
% 20.66/21.01  (step t37 (cl (= (= (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))))) :rule equiv_simplify)
% 20.66/21.01  (step t38 (cl (= (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) (not (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))))) :rule equiv2 :premises (t37))
% 20.66/21.01  (step t39 (cl (not (not (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule not_not)
% 20.66/21.01  (step t40 (cl (= (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule resolution :premises (t38 t39))
% 20.66/21.01  (step t41 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t42)
% 20.66/21.01  (assume t42.a0 (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))
% 20.66/21.01  (assume t42.a1 (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))
% 20.66/21.01  (step t42.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 20.66/21.01  (step t42.t2 (cl (= (= false true) false)) :rule all_simplify)
% 20.66/21.01  (step t42.t3 (cl (= (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) false) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule equiv_simplify)
% 20.66/21.01  (step t42.t4 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) false) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule equiv2 :premises (t42.t3))
% 20.66/21.01  (step t42.t5 (cl (not (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule not_not)
% 20.66/21.01  (step t42.t6 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) false) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule resolution :premises (t42.t4 t42.t5))
% 20.66/21.01  (step t42.t7 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) false)) :rule resolution :premises (t42.t6 t42.a1))
% 20.66/21.01  (step t42.t8 (cl (= false (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule symm :premises (t42.t7))
% 20.66/21.01  (step t42.t9 (cl (= (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) true) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule equiv_simplify)
% 20.66/21.01  (step t42.t10 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) true) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule equiv2 :premises (t42.t9))
% 20.66/21.01  (step t42.t11 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8))) :rule symm :premises (t42.a0))
% 20.66/21.01  (step t42.t12 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule symm :premises (t42.t11))
% 20.66/21.01  (step t42.t13 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) true)) :rule resolution :premises (t42.t10 t42.t12))
% 20.66/21.01  (step t42.t14 (cl (= false true)) :rule trans :premises (t42.t8 t42.t13))
% 20.66/21.01  (step t42.t15 (cl false) :rule resolution :premises (t42.t1 t42.t2 t42.t14))
% 20.66/21.01  (step t42 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) :rule subproof :discharge (t42.a0 t42.a1))
% 20.66/21.01  (step t43 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t44 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule and_pos)
% 20.66/21.01  (step t45 (cl false (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule resolution :premises (t42 t43 t44))
% 20.66/21.01  (step t46 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) false) :rule reordering :premises (t45))
% 20.66/21.01  (step t47 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) false) :rule contraction :premises (t46))
% 20.66/21.01  (step t48 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) false) :rule resolution :premises (t41 t47))
% 20.66/21.01  (step t49 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) (not false)) :rule implies_neg2)
% 20.66/21.01  (step t50 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false)) :rule resolution :premises (t48 t49))
% 20.66/21.01  (step t51 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false)) :rule contraction :premises (t50))
% 20.66/21.01  (step t52 (cl (= (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))))) :rule implies_simplify)
% 20.66/21.01  (step t53 (cl (not (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false)) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule equiv1 :premises (t52))
% 20.66/21.01  (step t54 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule resolution :premises (t51 t53))
% 20.66/21.01  (step t55 (cl (= (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) false)) :rule resolution :premises (t40 t54))
% 20.66/21.01  (step t56 (cl (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) false))) :rule cong :premises (t36 t55))
% 20.66/21.01  (step t57 (cl (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) false) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule all_simplify)
% 20.66/21.01  (step t58 (cl (= (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule trans :premises (t56 t57))
% 20.66/21.01  (step t59 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t60)
% 20.66/21.01  (assume t60.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))
% 20.66/21.01  (assume t60.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))
% 20.66/21.01  (assume t60.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 20.66/21.01  (assume t60.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))
% 20.66/21.01  (assume t60.a4 (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))
% 20.66/21.01  (assume t60.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))
% 20.66/21.01  (assume t60.a6 (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 20.66/21.01  (assume t60.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 20.66/21.01  (assume t60.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 20.66/21.01  (assume t60.a9 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 20.66/21.01  (assume t60.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 20.66/21.01  (assume t60.a11 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 20.66/21.01  (assume t60.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))
% 20.66/21.01  (assume t60.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 20.66/21.01  (assume t60.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 20.66/21.01  (assume t60.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))))
% 20.66/21.01  (assume t60.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))
% 20.66/21.01  (assume t60.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 20.66/21.01  (assume t60.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))
% 20.66/21.01  (assume t60.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))
% 20.66/21.01  (assume t60.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 20.66/21.01  (assume t60.a21 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 20.66/21.01  (assume t60.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))
% 20.66/21.01  (step t60.t1 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule and_neg)
% 20.66/21.01  (step t60.t2 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t60.t3)
% 20.66/21.01  (assume t60.t3.a0 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 20.66/21.01  (assume t60.t3.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 20.66/21.01  (assume t60.t3.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 20.66/21.01  (assume t60.t3.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))
% 20.66/21.01  (assume t60.t3.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))))
% 20.66/21.01  (assume t60.t3.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))
% 20.66/21.01  (assume t60.t3.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))
% 20.66/21.01  (assume t60.t3.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 20.66/21.01  (assume t60.t3.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 20.66/21.01  (assume t60.t3.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 20.66/21.01  (assume t60.t3.a10 (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))
% 20.66/21.01  (assume t60.t3.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))
% 20.66/21.01  (assume t60.t3.a12 (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 20.66/21.01  (assume t60.t3.a13 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 20.66/21.01  (assume t60.t3.a14 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 20.66/21.01  (assume t60.t3.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))
% 20.66/21.01  (assume t60.t3.a16 (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))
% 20.66/21.01  (assume t60.t3.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 20.66/21.01  (assume t60.t3.a18 (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))
% 20.66/21.01  (assume t60.t3.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))
% 20.66/21.01  (assume t60.t3.a20 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 20.66/21.01  (assume t60.t3.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))
% 20.66/21.01  (step t60.t3.t1 (cl (= (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) false) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule equiv_simplify)
% 20.66/21.01  (step t60.t3.t2 (cl (not (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) false)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule equiv1 :premises (t60.t3.t1))
% 20.66/21.01  (step t60.t3.t3 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7))) :rule symm :premises (t60.t3.a11))
% 20.66/21.01  (step t60.t3.t4 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)) :rule symm :premises (t60.t3.a10))
% 20.66/21.01  (step t60.t3.t5 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t60.t3.t4))
% 20.66/21.01  (step t60.t3.t6 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 20.66/21.01  (step t60.t3.t7 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t60.t3.t5 t60.t3.t6))
% 20.66/21.01  (step t60.t3.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t60.t3.a9))
% 20.66/21.01  (step t60.t3.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 20.66/21.01  (step t60.t3.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 20.66/21.01  (step t60.t3.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7))) :rule cong :premises (t60.t3.a3 t60.t3.t10))
% 20.66/21.01  (step t60.t3.t12 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7))) :rule symm :premises (t60.t3.a6))
% 20.66/21.01  (step t60.t3.t13 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule symm :premises (t60.t3.t12))
% 20.66/21.01  (step t60.t3.t14 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 20.66/21.01  (step t60.t3.t15 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)) :rule symm :premises (t60.t3.a5))
% 20.66/21.01  (step t60.t3.t16 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t60.t3.t15))
% 20.66/21.01  (step t60.t3.t17 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule cong :premises (t60.t3.t16 t60.t3.a3))
% 20.66/21.01  (step t60.t3.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8))) :rule symm :premises (t60.t3.a4))
% 20.66/21.01  (step t60.t3.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t60.t3.a1))
% 20.66/21.01  (step t60.t3.t20 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 20.66/21.01  (step t60.t3.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t60.t3.t19 t60.t3.t20))
% 20.66/21.01  (step t60.t3.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t60.t3.a0))
% 20.66/21.01  (step t60.t3.t23 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c7) tptp.sk_c8)) :rule trans :premises (t60.t3.t17 t60.t3.t18 t60.t3.t21 t60.t3.t22))
% 20.66/21.01  (step t60.t3.t24 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) :rule cong :premises (t60.t3.t14 t60.t3.t23))
% 20.66/21.01  (step t60.t3.t25 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t60.t3.a3))
% 20.66/21.01  (step t60.t3.t26 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7)) :rule trans :premises (t60.t3.t11 t60.t3.t13 t60.t3.t24 t60.t3.t25))
% 20.66/21.01  (step t60.t3.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t60.t3.t9 t60.t3.t26))
% 20.66/21.01  (step t60.t3.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t60.t3.t27))
% 20.66/21.01  (step t60.t3.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t60.t3.a7))
% 20.66/21.01  (step t60.t3.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t60.t3.a2 t60.t3.t10))
% 20.66/21.01  (step t60.t3.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t60.t3.t30))
% 20.66/21.01  (step t60.t3.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t60.t3.a8))
% 20.66/21.01  (step t60.t3.t33 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7)) :rule trans :premises (t60.t3.t7 t60.t3.t8 t60.t3.a2 t60.t3.t28 t60.t3.t29 t60.t3.t31 t60.t3.t32))
% 20.66/21.01  (step t60.t3.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t60.t3.t33 t60.t3.t10))
% 20.66/21.01  (step t60.t3.t35 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c7)) :rule trans :premises (t60.t3.t3 t60.t3.t34 t60.t3.t11 t60.t3.t13 t60.t3.t24 t60.t3.t25))
% 20.66/21.01  (step t60.t3.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c7 tptp.sk_c8))) :rule cong :premises (t60.t3.t35 t60.t3.t20))
% 20.66/21.01  (step t60.t3.t37 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t60.t3.t32))
% 20.66/21.01  (step t60.t3.t38 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t60.t3.t29))
% 20.66/21.01  (step t60.t3.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t60.t3.a2))
% 20.66/21.01  (step t60.t3.t40 (cl (= tptp.sk_c7 tptp.identity)) :rule trans :premises (t60.t3.t37 t60.t3.t30 t60.t3.t38 t60.t3.t27 t60.t3.t39))
% 20.66/21.01  (step t60.t3.t41 (cl (= tptp.sk_c7 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule trans :premises (t60.t3.t40 t60.t3.a1))
% 20.66/21.01  (step t60.t3.t42 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8))) :rule cong :premises (t60.t3.t41 t60.t3.t20))
% 20.66/21.01  (step t60.t3.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) tptp.sk_c8)) :rule trans :premises (t60.t3.t36 t60.t3.t42 t60.t3.t21 t60.t3.t22))
% 20.66/21.01  (step t60.t3.t44 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) :rule symm :premises (t60.t3.a21))
% 20.66/21.01  (step t60.t3.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule symm :premises (t60.t3.t44))
% 20.66/21.01  (step t60.t3.t46 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c8)) :rule trans :premises (t60.t3.t42 t60.t3.t21 t60.t3.t22))
% 20.66/21.01  (step t60.t3.t47 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)) (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule cong :premises (t60.t3.t6 t60.t3.t46))
% 20.66/21.01  (step t60.t3.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t60.t3.a20))
% 20.66/21.01  (step t60.t3.t49 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t60.t3.t48))
% 20.66/21.01  (step t60.t3.t50 (cl (= tptp.identity tptp.sk_c7)) :rule symm :premises (t60.t3.t40))
% 20.66/21.01  (step t60.t3.t51 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply tptp.sk_c7 tptp.sk_c4))) :rule cong :premises (t60.t3.t50 t60.t3.t6))
% 20.66/21.01  (step t60.t3.t52 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) :rule trans :premises (t60.t3.t49 t60.t3.t51))
% 20.66/21.01  (step t60.t3.t53 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8))) :rule cong :premises (t60.t3.t52 t60.t3.t20))
% 20.66/21.01  (step t60.t3.t54 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8))) :rule symm :premises (t60.t3.a19))
% 20.66/21.01  (step t60.t3.t55 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule symm :premises (t60.t3.t54))
% 20.66/21.01  (step t60.t3.t56 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)) :rule symm :premises (t60.t3.a18))
% 20.66/21.01  (step t60.t3.t57 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5))) :rule cong :premises (t60.t3.a3 t60.t3.t56))
% 20.66/21.01  (step t60.t3.t58 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t60.t3.a17))
% 20.66/21.01  (step t60.t3.t59 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule symm :premises (t60.t3.t58))
% 20.66/21.01  (step t60.t3.t60 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t60.t3.a16))
% 20.66/21.01  (step t60.t3.t61 (cl (= (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule cong :premises (t60.t3.t14 t60.t3.t60))
% 20.66/21.01  (step t60.t3.t62 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule trans :premises (t60.t3.t45 t60.t3.t47 t60.t3.t53 t60.t3.t55 t60.t3.t57 t60.t3.t59 t60.t3.t61))
% 20.66/21.01  (step t60.t3.t63 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule cong :premises (t60.t3.t16 t60.t3.t62))
% 20.66/21.01  (step t60.t3.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6))) :rule symm :premises (t60.t3.a15))
% 20.66/21.01  (step t60.t3.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c7)) :rule symm :premises (t60.t3.t41))
% 20.66/21.01  (step t60.t3.t66 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 20.66/21.01  (step t60.t3.t67 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t60.t3.t65 t60.t3.t66))
% 20.66/21.01  (step t60.t3.t68 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t60.t3.t50 t60.t3.t66))
% 20.66/21.01  (step t60.t3.t69 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t60.t3.t68))
% 20.66/21.01  (step t60.t3.t70 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t60.t3.a13))
% 20.66/21.01  (step t60.t3.t71 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t60.t3.t63 t60.t3.t64 t60.t3.t67 t60.t3.t69 t60.t3.t70 t60.t3.a14))
% 20.66/21.01  (step t60.t3.t72 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t60.t3.t43 t60.t3.t71))
% 20.66/21.01  (step t60.t3.t73 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) :rule symm :premises (t60.t3.a14))
% 20.66/21.01  (step t60.t3.t74 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t60.t3.t70))
% 20.66/21.01  (step t60.t3.t75 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t60.t3.t73 t60.t3.t74 t60.t3.t68))
% 20.66/21.01  (step t60.t3.t76 (cl (= (= tptp.sk_c8 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t60.t3.t20 t60.t3.t75))
% 20.66/21.01  (step t60.t3.t77 (cl (= (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) false) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule equiv_simplify)
% 20.66/21.01  (step t60.t3.t78 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) false) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule equiv2 :premises (t60.t3.t77))
% 20.66/21.01  (step t60.t3.t79 (cl (not (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule not_not)
% 20.66/21.01  (step t60.t3.t80 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) false) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule resolution :premises (t60.t3.t78 t60.t3.t79))
% 20.66/21.01  (step t60.t3.t81 (cl (= (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) false)) :rule resolution :premises (t60.t3.t80 t60.t3.a12))
% 20.66/21.01  (step t60.t3.t82 (cl (= (= tptp.sk_c8 (tptp.inverse tptp.sk_c3)) false)) :rule trans :premises (t60.t3.t76 t60.t3.t81))
% 20.66/21.01  (step t60.t3.t83 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) false)) :rule trans :premises (t60.t3.t72 t60.t3.t82))
% 20.66/21.01  (step t60.t3.t84 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule resolution :premises (t60.t3.t2 t60.t3.t83))
% 20.66/21.01  (step t60.t3 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule subproof :discharge (t60.t3.a0 t60.t3.a1 t60.t3.a2 t60.t3.a3 t60.t3.a4 t60.t3.a5 t60.t3.a6 t60.t3.a7 t60.t3.a8 t60.t3.a9 t60.t3.a10 t60.t3.a11 t60.t3.a12 t60.t3.a13 t60.t3.a14 t60.t3.a15 t60.t3.a16 t60.t3.a17 t60.t3.a18 t60.t3.a19 t60.t3.a20 t60.t3.a21))
% 20.66/21.01  (step t60.t4 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t60.t5 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 20.66/21.01  (step t60.t6 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t60.t7 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t60.t8 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t60.t9 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 20.66/21.01  (step t60.t10 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t60.t11 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t60.t12 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t60.t13 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 20.66/21.01  (step t60.t14 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 20.66/21.01  (step t60.t15 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t60.t16 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 20.66/21.01  (step t60.t17 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t60.t18 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 20.66/21.01  (step t60.t19 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_pos)
% 20.66/21.01  (step t60.t20 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule and_pos)
% 20.66/21.01  (step t60.t21 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 20.66/21.01  (step t60.t22 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t60.t23 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t60.t24 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 20.66/21.01  (step t60.t25 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t60.t26 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))))) :rule resolution :premises (t60.t3 t60.t4 t60.t5 t60.t6 t60.t7 t60.t8 t60.t9 t60.t10 t60.t11 t60.t12 t60.t13 t60.t14 t60.t15 t60.t16 t60.t17 t60.t18 t60.t19 t60.t20 t60.t21 t60.t22 t60.t23 t60.t24 t60.t25))
% 20.66/21.01  (step t60.t27 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule reordering :premises (t60.t26))
% 20.66/21.01  (step t60.t28 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule contraction :premises (t60.t27))
% 20.66/21.01  (step t60.t29 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule resolution :premises (t60.t2 t60.t28))
% 20.66/21.01  (step t60.t30 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule implies_neg2)
% 20.66/21.01  (step t60.t31 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule resolution :premises (t60.t29 t60.t30))
% 20.66/21.01  (step t60.t32 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule contraction :premises (t60.t31))
% 20.66/21.01  (step t60.t33 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule implies :premises (t60.t32))
% 20.66/21.01  (step t60.t34 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule and_neg)
% 20.66/21.01  (step t60.t35 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule resolution :premises (t60.t34 t60.a9 t60.a13 t60.a8 t60.a0 t60.a15 t60.a1 t60.a12 t60.a10 t60.a7 t60.a20 t60.a5 t60.a17 t60.a6 t60.a11 t60.a2 t60.a16 t60.a3 t60.a14 t60.a4 t60.a18 t60.a21 t60.a19))
% 20.66/21.01  (step t60.t36 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule resolution :premises (t60.t33 t60.t35))
% 20.66/21.01  (step t60.t37 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule resolution :premises (t60.t1 t60.a22 t60.t36))
% 20.66/21.01  (step t60 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule subproof :discharge (t60.a0 t60.a1 t60.a2 t60.a3 t60.a4 t60.a5 t60.a6 t60.a7 t60.a8 t60.a9 t60.a10 t60.a11 t60.a12 t60.a13 t60.a14 t60.a15 t60.a16 t60.a17 t60.a18 t60.a19 t60.a20 t60.a21 t60.a22))
% 20.66/21.01  (step t61 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t62 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 20.66/21.01  (step t63 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 20.66/21.01  (step t64 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule and_pos)
% 20.66/21.01  (step t65 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t66 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 20.66/21.01  (step t67 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 20.66/21.01  (step t68 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t69 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t70 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t71 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t72 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t73 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t74 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 20.66/21.01  (step t75 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 20.66/21.01  (step t76 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t77 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_pos)
% 20.66/21.01  (step t78 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t79 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t80 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t81 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 20.66/21.01  (step t82 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 20.66/21.01  (step t83 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t84 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule resolution :premises (t60 t61 t62 t63 t64 t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76 t77 t78 t79 t80 t81 t82 t83))
% 20.66/21.01  (step t85 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule reordering :premises (t84))
% 20.66/21.01  (step t86 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule contraction :premises (t85))
% 20.66/21.01  (step t87 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule resolution :premises (t59 t86))
% 20.66/21.01  (step t88 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule implies_neg2)
% 20.66/21.01  (step t89 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule resolution :premises (t87 t88))
% 20.66/21.01  (step t90 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))))) :rule contraction :premises (t89))
% 20.66/21.01  (step t91 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule resolution :premises (t35 t58 t90))
% 20.66/21.01  (step t92 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule not_and :premises (t91))
% 20.66/21.01  (step t93 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule or_neg)
% 20.66/21.01  (step t94 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule or_neg)
% 20.66/21.01  (step t95 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 20.66/21.01  (step t96 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule or_neg)
% 20.66/21.01  (step t97 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule or_neg)
% 20.66/21.01  (step t98 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule or_neg)
% 20.66/21.01  (step t99 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule or_neg)
% 20.66/21.01  (step t100 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or_neg)
% 20.66/21.01  (step t101 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule or_neg)
% 20.66/21.01  (step t102 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule or_neg)
% 20.66/21.01  (step t103 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule or_neg)
% 20.66/21.01  (step t104 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule or_neg)
% 20.66/21.01  (step t105 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))))) :rule or_neg)
% 20.66/21.01  (step t106 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule or_neg)
% 20.66/21.01  (step t107 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))))) :rule or_neg)
% 20.66/21.01  (step t108 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))))) :rule or_neg)
% 20.66/21.01  (step t109 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))))) :rule or_neg)
% 20.66/21.01  (step t110 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))))) :rule or_neg)
% 20.66/21.01  (step t111 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))))) :rule or_neg)
% 20.66/21.01  (step t112 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))))) :rule or_neg)
% 20.66/21.01  (step t113 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule or_neg)
% 20.66/21.01  (step t114 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule or_neg)
% 20.66/21.01  (step t115 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule or_neg)
% 20.66/21.01  (step t116 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule resolution :premises (t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t103 t104 t105 t106 t107 t108 t109 t110 t111 t112 t113 t114 t115))
% 20.66/21.01  (step t117 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule contraction :premises (t116))
% 20.66/21.01  (step t118 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))))) :rule resolution :premises (t1 t34 t117))
% 20.66/21.01  (step t119 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule or :premises (t118))
% 20.66/21.01  (step t120 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule reordering :premises (t119))
% 20.66/21.01  (step t121 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t122)
% 20.66/21.01  (assume t122.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t122.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule forall_inst :args ((:= X tptp.sk_c8) (:= Y (tptp.multiply tptp.sk_c4 tptp.sk_c7)) (:= Z tptp.sk_c8)))
% 20.66/21.01  (step t122.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule or :premises (t122.t1))
% 20.66/21.01  (step t122.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule resolution :premises (t122.t2 t122.a0))
% 20.66/21.01  (step t122 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule subproof :discharge (t122.a0))
% 20.66/21.01  (step t123 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule resolution :premises (t121 t122))
% 20.66/21.01  (step t124 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule implies_neg2)
% 20.66/21.01  (step t125 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule resolution :premises (t123 t124))
% 20.66/21.01  (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8))))) :rule contraction :premises (t125))
% 20.66/21.01  (step t127 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule implies :premises (t126))
% 20.66/21.01  (step t128 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8)))) :rule resolution :premises (t127 a2))
% 20.66/21.01  (step t129 (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)
% 20.66/21.01  (anchor :step t130)
% 20.66/21.01  (assume t130.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 20.66/21.01  (step t130.t1 (cl (or (not (forall ((X $$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)))
% 20.66/21.01  (step t130.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t130.t1))
% 20.66/21.01  (step t130.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t130.t2 t130.a0))
% 20.66/21.01  (step t130 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t130.a0))
% 20.66/21.01  (step t131 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t129 t130))
% 20.66/21.01  (step t132 (cl (=> (forall ((X $$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)
% 20.66/21.01  (step t133 (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 (t131 t132))
% 20.66/21.01  (step t134 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t133))
% 20.66/21.01  (step t135 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t134))
% 20.66/21.01  (step t136 (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)
% 20.66/21.01  (anchor :step t137 :args ((X $$unsorted) (:= X X)))
% 20.66/21.01  (step t137.t1 (cl (= X X)) :rule refl)
% 20.66/21.01  (step t137.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 20.66/21.01  (step t137 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 20.66/21.01  (step t138 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t136 t137 a0))
% 20.66/21.01  (step t139 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t135 t138))
% 20.66/21.01  (step t140 (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)
% 20.66/21.01  (anchor :step t141)
% 20.66/21.01  (assume t141.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 20.66/21.01  (step t141.t1 (cl (or (not (forall ((X $$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)))
% 20.66/21.01  (step t141.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t141.t1))
% 20.66/21.01  (step t141.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t141.t2 t141.a0))
% 20.66/21.01  (step t141 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t141.a0))
% 20.66/21.01  (step t142 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t140 t141))
% 20.66/21.01  (step t143 (cl (=> (forall ((X $$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)
% 20.66/21.01  (step t144 (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 (t142 t143))
% 20.66/21.01  (step t145 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t144))
% 20.66/21.01  (step t146 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t145))
% 20.66/21.01  (step t147 (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)
% 20.66/21.01  (anchor :step t148 :args ((X $$unsorted) (:= X X)))
% 20.66/21.01  (step t148.t1 (cl (= X X)) :rule refl)
% 20.66/21.01  (step t148.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 20.66/21.01  (step t148 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule bind)
% 20.66/21.01  (step t149 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t147 t148 a1))
% 20.66/21.01  (step t150 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t146 t149))
% 20.66/21.01  (step t151 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t152)
% 20.66/21.01  (assume t152.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t152.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule forall_inst :args ((:= X tptp.sk_c4) (:= Y tptp.sk_c7) (:= Z tptp.sk_c8)))
% 20.66/21.01  (step t152.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule or :premises (t152.t1))
% 20.66/21.01  (step t152.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule resolution :premises (t152.t2 t152.a0))
% 20.66/21.01  (step t152 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule subproof :discharge (t152.a0))
% 20.66/21.01  (step t153 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule resolution :premises (t151 t152))
% 20.66/21.01  (step t154 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule implies_neg2)
% 20.66/21.01  (step t155 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule resolution :premises (t153 t154))
% 20.66/21.01  (step t156 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) :rule contraction :premises (t155))
% 20.66/21.01  (step t157 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule implies :premises (t156))
% 20.66/21.01  (step t158 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c7) tptp.sk_c8) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c7 tptp.sk_c8)))) :rule resolution :premises (t157 a2))
% 20.66/21.01  (step t159 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t160)
% 20.66/21.01  (assume t160.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t160.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c4) (:= Z tptp.sk_c8)))
% 20.66/21.01  (step t160.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule or :premises (t160.t1))
% 20.66/21.01  (step t160.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t160.t2 t160.a0))
% 20.66/21.01  (step t160 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule subproof :discharge (t160.a0))
% 20.66/21.01  (step t161 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t159 t160))
% 20.66/21.01  (step t162 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule implies_neg2)
% 20.66/21.01  (step t163 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule resolution :premises (t161 t162))
% 20.66/21.01  (step t164 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule contraction :premises (t163))
% 20.66/21.01  (step t165 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule implies :premises (t164))
% 20.66/21.01  (step t166 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c4) tptp.sk_c8) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t165 a2))
% 20.66/21.01  (step t167 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t168)
% 20.66/21.01  (assume t168.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t168.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c8) (:= Y tptp.sk_c4) (:= Z tptp.sk_c7)))
% 20.66/21.01  (step t168.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule or :premises (t168.t1))
% 20.66/21.01  (step t168.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t168.t2 t168.a0))
% 20.66/21.01  (step t168 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule subproof :discharge (t168.a0))
% 20.66/21.01  (step t169 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t167 t168))
% 20.66/21.01  (step t170 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule implies_neg2)
% 20.66/21.01  (step t171 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule resolution :premises (t169 t170))
% 20.66/21.01  (step t172 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7))))) :rule contraction :premises (t171))
% 20.66/21.01  (step t173 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule implies :premises (t172))
% 20.66/21.01  (step t174 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c7)))) :rule resolution :premises (t173 a2))
% 20.66/21.01  (step t175 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t176)
% 20.66/21.01  (assume t176.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t176.t1 (cl (or (not (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2)) (:= Y tptp.sk_c2) (:= Z tptp.sk_c6)))
% 20.66/21.01  (step t176.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule or :premises (t176.t1))
% 20.66/21.01  (step t176.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t176.t2 t176.a0))
% 20.66/21.01  (step t176 (cl (not (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule subproof :discharge (t176.a0))
% 20.66/21.01  (step t177 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t175 t176))
% 20.66/21.01  (step t178 (cl (=> (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule implies_neg2)
% 20.66/21.01  (step t179 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule resolution :premises (t177 t178))
% 20.66/21.01  (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule contraction :premises (t179))
% 20.66/21.01  (step t181 (cl (not (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule implies :premises (t180))
% 20.66/21.01  (step t182 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t181 a2))
% 20.66/21.01  (step t183 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t184)
% 20.66/21.01  (assume t184.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t184.t1 (cl (or (not (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c2)) (:= Y tptp.sk_c2) (:= Z tptp.sk_c8)))
% 20.66/21.01  (step t184.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule or :premises (t184.t1))
% 20.66/21.01  (step t184.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule resolution :premises (t184.t2 t184.a0))
% 20.66/21.01  (step t184 (cl (not (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule subproof :discharge (t184.a0))
% 20.66/21.01  (step t185 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule resolution :premises (t183 t184))
% 20.66/21.01  (step t186 (cl (=> (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule implies_neg2)
% 20.66/21.01  (step t187 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) (=> (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule resolution :premises (t185 t186))
% 20.66/21.01  (step t188 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule contraction :premises (t187))
% 20.66/21.01  (step t189 (cl (not (forall ((X $$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_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule implies :premises (t188))
% 20.66/21.01  (step t190 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c2) (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule resolution :premises (t189 a2))
% 20.66/21.01  (step t191 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t192)
% 20.66/21.01  (assume t192.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t192.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule forall_inst :args ((:= X tptp.sk_c2) (:= Y tptp.sk_c8) (:= Z tptp.sk_c5)))
% 20.66/21.01  (step t192.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule or :premises (t192.t1))
% 20.66/21.01  (step t192.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t192.t2 t192.a0))
% 20.66/21.01  (step t192 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule subproof :discharge (t192.a0))
% 20.66/21.01  (step t193 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t191 t192))
% 20.66/21.01  (step t194 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule implies_neg2)
% 20.66/21.01  (step t195 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule resolution :premises (t193 t194))
% 20.66/21.01  (step t196 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule contraction :premises (t195))
% 20.66/21.01  (step t197 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule implies :premises (t196))
% 20.66/21.01  (step t198 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t197 a2))
% 20.66/21.01  (step t199 (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)
% 20.66/21.01  (anchor :step t200)
% 20.66/21.01  (assume t200.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 20.66/21.01  (step t200.t1 (cl (or (not (forall ((X $$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)))
% 20.66/21.01  (step t200.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t200.t1))
% 20.66/21.01  (step t200.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t200.t2 t200.a0))
% 20.66/21.01  (step t200 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t200.a0))
% 20.66/21.01  (step t201 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t199 t200))
% 20.66/21.01  (step t202 (cl (=> (forall ((X $$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)
% 20.66/21.01  (step t203 (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 (t201 t202))
% 20.66/21.01  (step t204 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t203))
% 20.66/21.01  (step t205 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t204))
% 20.66/21.01  (step t206 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t205 t149))
% 20.66/21.01  (step t207 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 20.66/21.01  (step t208 (cl (= (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule all_simplify)
% 20.66/21.01  (step t209 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 20.66/21.01  (step t210 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t208 t209))
% 20.66/21.01  (step t211 (cl (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t207 t210 a9))
% 20.66/21.01  (step t212 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) :rule or :premises (t211))
% 20.66/21.01  (step t213 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t214)
% 20.66/21.01  (assume t214.a0 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))))
% 20.66/21.01  (step t214.t1 (cl (or (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X5 tptp.sk_c4)))
% 20.66/21.01  (step t214.t2 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t214.t1))
% 20.66/21.01  (step t214.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t214.t2 t214.a0))
% 20.66/21.01  (step t214 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t214.a0))
% 20.66/21.01  (step t215 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t213 t214))
% 20.66/21.01  (step t216 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 20.66/21.01  (step t217 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t215 t216))
% 20.66/21.01  (step t218 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t217))
% 20.66/21.01  (step t219 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t218))
% 20.66/21.01  (step t220 (cl (not (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c6)) (not (= (tptp.multiply X5 tptp.sk_c8) X4)) (not (= (tptp.inverse X5) tptp.sk_c8)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))))) (not (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c6)) (not (= (tptp.multiply X5 tptp.sk_c8) X4)) (not (= (tptp.inverse X5) tptp.sk_c8))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))))) :rule equiv_pos2)
% 20.66/21.01  (anchor :step t221 :args ((X2 $$unsorted) (:= X2 X2) (X1 $$unsorted) (:= X1 X1) (X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X5 $$unsorted) (:= X5 X5)))
% 20.66/21.01  (step t221.t1 (cl (= X2 X2)) :rule refl)
% 20.66/21.01  (step t221.t2 (cl (= X1 X1)) :rule refl)
% 20.66/21.01  (step t221.t3 (cl (= X3 X3)) :rule refl)
% 20.66/21.01  (step t221.t4 (cl (= X4 X4)) :rule refl)
% 20.66/21.01  (step t221.t5 (cl (= X5 X5)) :rule refl)
% 20.66/21.01  (step t221.t6 (cl (= (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule cong :premises (t208))
% 20.66/21.01  (step t221.t7 (cl (= (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8)))) :rule all_simplify)
% 20.66/21.01  (step t221.t8 (cl (= (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))))) :rule cong :premises (t221.t7))
% 20.66/21.01  (step t221.t9 (cl (= (= (tptp.inverse X2) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse X2)))) :rule all_simplify)
% 20.66/21.01  (step t221.t10 (cl (= (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.inverse X2))))) :rule cong :premises (t221.t9))
% 20.66/21.01  (step t221.t11 (cl (= (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8)))) :rule all_simplify)
% 20.66/21.01  (step t221.t12 (cl (= (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))))) :rule cong :premises (t221.t11))
% 20.66/21.01  (step t221.t13 (cl (= (= (tptp.inverse X1) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse X1)))) :rule all_simplify)
% 20.66/21.01  (step t221.t14 (cl (= (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.inverse X1))))) :rule cong :premises (t221.t13))
% 20.66/21.01  (step t221.t15 (cl (= (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6)))) :rule all_simplify)
% 20.66/21.01  (step t221.t16 (cl (= (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))))) :rule cong :premises (t221.t15))
% 20.66/21.01  (step t221.t17 (cl (= (= (tptp.inverse X3) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X3)))) :rule all_simplify)
% 20.66/21.01  (step t221.t18 (cl (= (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X3))))) :rule cong :premises (t221.t17))
% 20.66/21.01  (step t221.t19 (cl (= (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4)))) :rule all_simplify)
% 20.66/21.01  (step t221.t20 (cl (= (not (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))))) :rule cong :premises (t221.t19))
% 20.66/21.01  (step t221.t21 (cl (= (= (tptp.multiply X5 tptp.sk_c8) X4) (= X4 (tptp.multiply X5 tptp.sk_c8)))) :rule all_simplify)
% 20.66/21.01  (step t221.t22 (cl (= (not (= (tptp.multiply X5 tptp.sk_c8) X4)) (not (= X4 (tptp.multiply X5 tptp.sk_c8))))) :rule cong :premises (t221.t21))
% 20.66/21.01  (step t221.t23 (cl (= (= (tptp.inverse X5) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse X5)))) :rule all_simplify)
% 20.66/21.01  (step t221.t24 (cl (= (not (= (tptp.inverse X5) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.inverse X5))))) :rule cong :premises (t221.t23))
% 20.66/21.01  (step t221.t25 (cl (= (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c6)) (not (= (tptp.multiply X5 tptp.sk_c8) X4)) (not (= (tptp.inverse X5) tptp.sk_c8))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule cong :premises (t221.t6 t221.t8 t221.t10 t221.t12 t221.t14 t221.t16 t221.t18 t221.t20 t221.t22 t221.t24))
% 20.66/21.01  (step t221 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c6)) (not (= (tptp.multiply X5 tptp.sk_c8) X4)) (not (= (tptp.inverse X5) tptp.sk_c8)))) (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5))))))) :rule bind)
% 20.66/21.01  (step t222 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5)))))))) :rule all_simplify)
% 20.66/21.01  (step t223 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule refl)
% 20.66/21.01  (step t224 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))) :rule refl)
% 20.66/21.01  (step t225 (cl (= (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) :rule refl)
% 20.66/21.01  (step t226 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))) :rule refl)
% 20.66/21.01  (step t227 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= (tptp.multiply X5 tptp.sk_c8) (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5))))))) :rule all_simplify)
% 20.66/21.01  (anchor :step t228 :args ((X5 $$unsorted) (:= X5 X5)))
% 20.66/21.01  (step t228.t1 (cl (= X5 X5)) :rule refl)
% 20.66/21.01  (step t228.t2 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))))) :rule refl)
% 20.66/21.01  (step t228.t3 (cl (= (= (tptp.multiply X5 tptp.sk_c8) (tptp.multiply X5 tptp.sk_c8)) true)) :rule all_simplify)
% 20.66/21.01  (step t228.t4 (cl (= (not (= (tptp.multiply X5 tptp.sk_c8) (tptp.multiply X5 tptp.sk_c8))) (not true))) :rule cong :premises (t228.t3))
% 20.66/21.01  (step t228.t5 (cl (= (not true) false)) :rule all_simplify)
% 20.66/21.01  (step t228.t6 (cl (= (not (= (tptp.multiply X5 tptp.sk_c8) (tptp.multiply X5 tptp.sk_c8))) false)) :rule trans :premises (t228.t4 t228.t5))
% 20.66/21.01  (step t228.t7 (cl (= (not (= tptp.sk_c8 (tptp.inverse X5))) (not (= tptp.sk_c8 (tptp.inverse X5))))) :rule refl)
% 20.66/21.01  (step t228.t8 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= (tptp.multiply X5 tptp.sk_c8) (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) false (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule cong :premises (t228.t2 t228.t6 t228.t7))
% 20.66/21.01  (step t228.t9 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) false (not (= tptp.sk_c8 (tptp.inverse X5)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule all_simplify)
% 20.66/21.01  (step t228.t10 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= (tptp.multiply X5 tptp.sk_c8) (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule trans :premises (t228.t8 t228.t9))
% 20.66/21.01  (step t228 (cl (= (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= (tptp.multiply X5 tptp.sk_c8) (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))))) :rule bind)
% 20.66/21.01  (step t229 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))))) :rule trans :premises (t227 t228))
% 20.66/21.01  (step t230 (cl (= (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))))) :rule cong :premises (t223 t224 t225 t226 t229))
% 20.66/21.01  (step t231 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))))) :rule trans :premises (t222 t230))
% 20.66/21.01  (step t232 (cl (= (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c6)) (not (= (tptp.multiply X5 tptp.sk_c8) X4)) (not (= (tptp.inverse X5) tptp.sk_c8)))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))))) :rule trans :premises (t221 t231))
% 20.66/21.01  (step t233 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))))) :rule resolution :premises (t220 t232 a24))
% 20.66/21.01  (step t234 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule or :premises (t233))
% 20.66/21.01  (step t235 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) :rule hole :args ((forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (= X2 X1)))
% 20.66/21.01  (step t236 (cl (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) :rule equiv2 :premises (t235))
% 20.66/21.01  (step t237 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))) :rule or_pos)
% 20.66/21.01  (step t238 (cl (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))))) :rule reordering :premises (t237))
% 20.66/21.01  (step t239 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t240)
% 20.66/21.01  (assume t240.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))
% 20.66/21.01  (step t240.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X3 tptp.sk_c3)))
% 20.66/21.01  (step t240.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t240.t1))
% 20.66/21.01  (step t240.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t240.t2 t240.a0))
% 20.66/21.01  (step t240 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t240.a0))
% 20.66/21.01  (step t241 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t239 t240))
% 20.66/21.01  (step t242 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 20.66/21.01  (step t243 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t241 t242))
% 20.66/21.01  (step t244 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t243))
% 20.66/21.01  (step t245 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t244))
% 20.66/21.01  (step t246 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (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))))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t219 t234 t236 t238 t245))
% 20.66/21.01  (step t247 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t246))
% 20.66/21.01  (step t248 (cl (=> (forall ((X2 $$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_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t249)
% 20.66/21.01  (assume t249.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))
% 20.66/21.01  (step t249.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))))) :rule forall_inst :args ((:= X2 tptp.sk_c2)))
% 20.66/21.01  (step t249.t2 (cl (not (forall ((X2 $$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_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule or :premises (t249.t1))
% 20.66/21.01  (step t249.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t249.t2 t249.a0))
% 20.66/21.01  (step t249 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t249.a0))
% 20.66/21.01  (step t250 (cl (=> (forall ((X2 $$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_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t248 t249))
% 20.66/21.01  (step t251 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 20.66/21.01  (step t252 (cl (=> (forall ((X2 $$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_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t250 t251))
% 20.66/21.01  (step t253 (cl (=> (forall ((X2 $$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_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t252))
% 20.66/21.01  (step t254 (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_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t253))
% 20.66/21.01  (step t255 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule and_neg)
% 20.66/21.01  (step t256 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t257)
% 20.66/21.01  (assume t257.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))
% 20.66/21.01  (assume t257.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))
% 20.66/21.01  (step t257.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t257.t2)
% 20.66/21.01  (assume t257.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))
% 20.66/21.01  (assume t257.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))
% 20.66/21.01  (step t257.t2.t1 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t257.t2.a1))
% 20.66/21.01  (step t257.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule symm :premises (t257.t2.t1))
% 20.66/21.01  (step t257.t2.t3 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 20.66/21.01  (step t257.t2.t4 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)) :rule symm :premises (t257.t2.a0))
% 20.66/21.01  (step t257.t2.t5 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule symm :premises (t257.t2.t4))
% 20.66/21.01  (step t257.t2.t6 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule cong :premises (t257.t2.t3 t257.t2.t5))
% 20.66/21.01  (step t257.t2.t7 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule trans :premises (t257.t2.t2 t257.t2.t6))
% 20.66/21.01  (step t257.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule subproof :discharge (t257.t2.a0 t257.t2.a1))
% 20.66/21.01  (step t257.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t257.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule and_pos)
% 20.66/21.01  (step t257.t5 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule resolution :premises (t257.t2 t257.t3 t257.t4))
% 20.66/21.01  (step t257.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule reordering :premises (t257.t5))
% 20.66/21.01  (step t257.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule contraction :premises (t257.t6))
% 20.66/21.01  (step t257.t8 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t257.t1 t257.t7))
% 20.66/21.01  (step t257.t9 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule implies_neg2)
% 20.66/21.01  (step t257.t10 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule resolution :premises (t257.t8 t257.t9))
% 20.66/21.01  (step t257.t11 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule contraction :premises (t257.t10))
% 20.66/21.01  (step t257.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule implies :premises (t257.t11))
% 20.66/21.01  (step t257.t13 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_neg)
% 20.66/21.01  (step t257.t14 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t257.t13 t257.a1 t257.a0))
% 20.66/21.01  (step t257.t15 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t257.t12 t257.t14))
% 20.66/21.01  (step t257 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule subproof :discharge (t257.a0 t257.a1))
% 20.66/21.01  (step t258 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule and_pos)
% 20.66/21.01  (step t259 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t260 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule resolution :premises (t257 t258 t259))
% 20.66/21.01  (step t261 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule reordering :premises (t260))
% 20.66/21.01  (step t262 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule contraction :premises (t261))
% 20.66/21.01  (step t263 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t256 t262))
% 20.66/21.01  (step t264 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule implies_neg2)
% 20.66/21.01  (step t265 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule resolution :premises (t263 t264))
% 20.66/21.01  (step t266 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule contraction :premises (t265))
% 20.66/21.01  (step t267 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule implies :premises (t266))
% 20.66/21.01  (step t268 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t255 t267))
% 20.66/21.01  (step t269 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule or_pos)
% 20.66/21.01  (step t270 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t269))
% 20.66/21.01  (step t271 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))) :rule or_pos)
% 20.66/21.01  (step t272 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))))) :rule reordering :premises (t271))
% 20.66/21.01  (step t273 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 20.66/21.01  (step t274 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule all_simplify)
% 20.66/21.01  (step t275 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t274 t209))
% 20.66/21.01  (step t276 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t273 t275 a16))
% 20.66/21.01  (step t277 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) :rule or :premises (t276))
% 20.66/21.01  (step t278 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t277))
% 20.66/21.01  (step t279 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule equiv_pos2)
% 20.66/21.01  (step t280 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule all_simplify)
% 20.66/21.01  (step t281 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule cong :premises (t274 t280))
% 20.66/21.01  (step t282 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t279 t281 a15))
% 20.66/21.01  (step t283 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule or :premises (t282))
% 20.66/21.01  (step t284 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t283))
% 20.66/21.01  (step t285 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule equiv_pos2)
% 20.66/21.01  (step t286 (cl (= (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule all_simplify)
% 20.66/21.01  (step t287 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule cong :premises (t274 t286))
% 20.66/21.01  (step t288 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t285 t287 a14))
% 20.66/21.01  (step t289 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule or :premises (t288))
% 20.66/21.01  (step t290 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t289))
% 20.66/21.01  (step t291 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 20.66/21.01  (step t292 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 20.66/21.01  (step t293 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t274 t292))
% 20.66/21.01  (step t294 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t291 t293 a13))
% 20.66/21.01  (step t295 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule or :premises (t294))
% 20.66/21.01  (step t296 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t295))
% 20.66/21.01  (step t297 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 20.66/21.01  (step t298 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule all_simplify)
% 20.66/21.01  (step t299 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t274 t298))
% 20.66/21.01  (step t300 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t297 t299 a12))
% 20.66/21.01  (step t301 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t300))
% 20.66/21.01  (step t302 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t301))
% 20.66/21.01  (step t303 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 20.66/21.01  (step t304 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 20.66/21.01  (step t305 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t274 t304))
% 20.66/21.01  (step t306 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t303 t305 a11))
% 20.66/21.01  (step t307 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) :rule or :premises (t306))
% 20.66/21.01  (step t308 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t307))
% 20.66/21.01  (step t309 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule equiv_pos2)
% 20.66/21.01  (step t310 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule all_simplify)
% 20.66/21.01  (step t311 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule cong :premises (t274 t310))
% 20.66/21.01  (step t312 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule resolution :premises (t309 t311 a10))
% 20.66/21.01  (step t313 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) :rule or :premises (t312))
% 20.66/21.01  (step t314 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule reordering :premises (t313))
% 20.66/21.01  (step t315 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule resolution :premises (t247 t254 t268 t270 t272 t278 t284 t290 t296 t302 t308 t314))
% 20.66/21.01  (step t316 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule contraction :premises (t315))
% 20.66/21.01  (step t317 (cl (not (= (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule equiv_pos2)
% 20.66/21.01  (step t318 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule refl)
% 20.66/21.01  (step t319 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule refl)
% 20.66/21.01  (step t320 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule refl)
% 20.66/21.01  (step t321 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule refl)
% 20.66/21.01  (step t322 (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)
% 20.66/21.01  (step t323 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))))) :rule refl)
% 20.66/21.01  (step t324 (cl (= (= (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) true) (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule equiv_simplify)
% 20.66/21.01  (step t325 (cl (not (= (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) true)) (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule equiv1 :premises (t324))
% 20.66/21.01  (step t326 (cl (= (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))))) :rule all_simplify)
% 20.66/21.01  (step t327 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule refl)
% 20.66/21.01  (step t328 (cl (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule all_simplify)
% 20.66/21.01  (step t329 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule cong :premises (t327 t328))
% 20.66/21.01  (step t330 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) true)) :rule all_simplify)
% 20.66/21.01  (step t331 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) true)) :rule trans :premises (t329 t330))
% 20.66/21.01  (step t332 (cl (= (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) true)) :rule trans :premises (t326 t331))
% 20.66/21.01  (step t333 (cl (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t325 t332))
% 20.66/21.01  (step t334 (cl (= (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule cong :premises (t318 t319 t320 t321 t18 t19 t322 t20 t21 t22 t323 t333))
% 20.66/21.01  (step t335 (cl (not (= (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))))) (not (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule equiv_pos2)
% 20.66/21.01  (step t336 (cl (= (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule refl)
% 20.66/21.01  (step t337 (cl (= (= (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule equiv_simplify)
% 20.66/21.01  (step t338 (cl (= (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) (not (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule equiv2 :premises (t337))
% 20.66/21.01  (step t339 (cl (not (not (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule not_not)
% 20.66/21.01  (step t340 (cl (= (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t338 t339))
% 20.66/21.01  (step t341 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t342)
% 20.66/21.01  (assume t342.a0 (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))
% 20.66/21.01  (assume t342.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 20.66/21.01  (step t342.t1 (cl (not (= (= true false) false)) (not (= true false)) false) :rule equiv_pos2)
% 20.66/21.01  (step t342.t2 (cl (= (= true false) false)) :rule all_simplify)
% 20.66/21.01  (step t342.t3 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) true) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule equiv_simplify)
% 20.66/21.01  (step t342.t4 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) true) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule equiv2 :premises (t342.t3))
% 20.66/21.01  (step t342.t5 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) tptp.sk_c6)) :rule symm :premises (t342.a1))
% 20.66/21.01  (step t342.t6 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t342.t5))
% 20.66/21.01  (step t342.t7 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) true)) :rule resolution :premises (t342.t4 t342.t6))
% 20.66/21.01  (step t342.t8 (cl (= true (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule symm :premises (t342.t7))
% 20.66/21.01  (step t342.t9 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) false) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule equiv_simplify)
% 20.66/21.01  (step t342.t10 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) false) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule equiv2 :premises (t342.t9))
% 20.66/21.01  (step t342.t11 (cl (not (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule not_not)
% 20.66/21.01  (step t342.t12 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) false) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t342.t10 t342.t11))
% 20.66/21.01  (step t342.t13 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) false)) :rule resolution :premises (t342.t12 t342.a0))
% 20.66/21.01  (step t342.t14 (cl (= true false)) :rule trans :premises (t342.t8 t342.t13))
% 20.66/21.01  (step t342.t15 (cl false) :rule resolution :premises (t342.t1 t342.t2 t342.t14))
% 20.66/21.01  (step t342 (cl (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) :rule subproof :discharge (t342.a0 t342.a1))
% 20.66/21.01  (step t343 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule and_pos)
% 20.66/21.01  (step t344 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t345 (cl false (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule resolution :premises (t342 t343 t344))
% 20.66/21.01  (step t346 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) false) :rule reordering :premises (t345))
% 20.66/21.01  (step t347 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) false) :rule contraction :premises (t346))
% 20.66/21.01  (step t348 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) false) :rule resolution :premises (t341 t347))
% 20.66/21.01  (step t349 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) (not false)) :rule implies_neg2)
% 20.66/21.01  (step t350 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false)) :rule resolution :premises (t348 t349))
% 20.66/21.01  (step t351 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false)) :rule contraction :premises (t350))
% 20.66/21.01  (step t352 (cl (= (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule implies_simplify)
% 20.66/21.01  (step t353 (cl (not (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false)) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule equiv1 :premises (t352))
% 20.66/21.01  (step t354 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule resolution :premises (t351 t353))
% 20.66/21.01  (step t355 (cl (= (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) false)) :rule resolution :premises (t340 t354))
% 20.66/21.01  (step t356 (cl (= (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) false))) :rule cong :premises (t336 t355))
% 20.66/21.01  (step t357 (cl (= (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) false) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))))) :rule all_simplify)
% 20.66/21.01  (step t358 (cl (= (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))))) :rule trans :premises (t356 t357))
% 20.66/21.01  (step t359 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t360)
% 20.66/21.01  (assume t360.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 20.66/21.01  (assume t360.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 20.66/21.01  (assume t360.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 20.66/21.01  (assume t360.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 20.66/21.01  (assume t360.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 20.66/21.01  (assume t360.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 20.66/21.01  (assume t360.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 20.66/21.01  (assume t360.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 20.66/21.01  (assume t360.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 20.66/21.01  (assume t360.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 20.66/21.01  (assume t360.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))
% 20.66/21.01  (assume t360.a11 (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))
% 20.66/21.01  (step t360.t1 (cl (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule and_neg)
% 20.66/21.01  (step t360.t2 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t360.t3)
% 20.66/21.01  (assume t360.t3.a0 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 20.66/21.01  (assume t360.t3.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 20.66/21.01  (assume t360.t3.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 20.66/21.01  (assume t360.t3.a3 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 20.66/21.01  (assume t360.t3.a4 (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 20.66/21.01  (assume t360.t3.a5 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 20.66/21.01  (assume t360.t3.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 20.66/21.01  (assume t360.t3.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 20.66/21.01  (assume t360.t3.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 20.66/21.01  (assume t360.t3.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))
% 20.66/21.01  (assume t360.t3.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 20.66/21.01  (step t360.t3.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t360.t3.a10))
% 20.66/21.01  (step t360.t3.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t360.t3.t1))
% 20.66/21.01  (step t360.t3.t3 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 20.66/21.01  (step t360.t3.t4 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 20.66/21.01  (step t360.t3.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t360.t3.a3))
% 20.66/21.01  (step t360.t3.t6 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule symm :premises (t360.t3.t5))
% 20.66/21.01  (step t360.t3.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t360.t3.a2))
% 20.66/21.01  (step t360.t3.t8 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t360.t3.t7))
% 20.66/21.01  (step t360.t3.t9 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t360.t3.a1))
% 20.66/21.01  (step t360.t3.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule cong :premises (t360.t3.t9 t360.t3.t4))
% 20.66/21.01  (step t360.t3.t11 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule trans :premises (t360.t3.t8 t360.t3.t10))
% 20.66/21.01  (step t360.t3.t12 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 20.66/21.01  (step t360.t3.t13 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t360.t3.t11 t360.t3.t12))
% 20.66/21.01  (step t360.t3.t14 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t360.t3.a0))
% 20.66/21.01  (step t360.t3.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t360.t3.t14))
% 20.66/21.01  (step t360.t3.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t360.t3.a5))
% 20.66/21.01  (step t360.t3.t17 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c7))) :rule cong :premises (t360.t3.t12 t360.t3.t16))
% 20.66/21.01  (step t360.t3.t18 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) :rule trans :premises (t360.t3.t6 t360.t3.t13 t360.t3.t15 t360.t3.t17))
% 20.66/21.01  (step t360.t3.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule cong :premises (t360.t3.t4 t360.t3.t18))
% 20.66/21.01  (step t360.t3.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7))) :rule symm :premises (t360.t3.a9))
% 20.66/21.01  (step t360.t3.t21 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 20.66/21.01  (step t360.t3.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t360.t3.t16 t360.t3.t21))
% 20.66/21.01  (step t360.t3.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t360.t3.a5 t360.t3.t19 t360.t3.t20 t360.t3.t22))
% 20.66/21.01  (step t360.t3.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t360.t3.t3 t360.t3.t23))
% 20.66/21.01  (step t360.t3.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t360.t3.a8))
% 20.66/21.01  (step t360.t3.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t360.t3.a7))
% 20.66/21.01  (step t360.t3.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t360.t3.t26 t360.t3.t21))
% 20.66/21.01  (step t360.t3.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t360.t3.a6))
% 20.66/21.01  (step t360.t3.t29 (cl (= tptp.identity tptp.sk_c7)) :rule trans :premises (t360.t3.a7 t360.t3.t24 t360.t3.t25 t360.t3.t27 t360.t3.t28))
% 20.66/21.01  (step t360.t3.t30 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule trans :premises (t360.t3.t29 t360.t3.a5))
% 20.66/21.01  (step t360.t3.t31 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 20.66/21.01  (step t360.t3.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c6))) :rule cong :premises (t360.t3.t30 t360.t3.t31))
% 20.66/21.01  (step t360.t3.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t360.t3.t16 t360.t3.t31))
% 20.66/21.01  (step t360.t3.t34 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) :rule symm :premises (t360.t3.a4))
% 20.66/21.01  (step t360.t3.t35 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule trans :premises (t360.t3.t2 t360.t3.t32 t360.t3.t33 t360.t3.t34 t360.t3.t6 t360.t3.t13 t360.t3.t15))
% 20.66/21.01  (step t360.t3 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (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_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule subproof :discharge (t360.t3.a0 t360.t3.a1 t360.t3.a2 t360.t3.a3 t360.t3.a4 t360.t3.a5 t360.t3.a6 t360.t3.a7 t360.t3.a8 t360.t3.a9 t360.t3.a10))
% 20.66/21.01  (step t360.t4 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t360.t5 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t360.t6 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t360.t7 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t360.t8 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t360.t9 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t360.t10 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t360.t11 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t360.t12 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t360.t13 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t360.t14 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t360.t15 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t360.t3 t360.t4 t360.t5 t360.t6 t360.t7 t360.t8 t360.t9 t360.t10 t360.t11 t360.t12 t360.t13 t360.t14))
% 20.66/21.01  (step t360.t16 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule reordering :premises (t360.t15))
% 20.66/21.01  (step t360.t17 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule contraction :premises (t360.t16))
% 20.66/21.01  (step t360.t18 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t360.t2 t360.t17))
% 20.66/21.01  (step t360.t19 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule implies_neg2)
% 20.66/21.01  (step t360.t20 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t360.t18 t360.t19))
% 20.66/21.01  (step t360.t21 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule contraction :premises (t360.t20))
% 20.66/21.01  (step t360.t22 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule implies :premises (t360.t21))
% 20.66/21.01  (step t360.t23 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (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_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 20.66/21.01  (step t360.t24 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t360.t23 t360.a3 t360.a2 t360.a6 t360.a7 t360.a0 t360.a1 t360.a4 t360.a5 t360.a8 t360.a10 t360.a9))
% 20.66/21.01  (step t360.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t360.t22 t360.t24))
% 20.66/21.01  (step t360.t26 (cl (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t360.t1 t360.a11 t360.t25))
% 20.66/21.01  (step t360 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule subproof :discharge (t360.a0 t360.a1 t360.a2 t360.a3 t360.a4 t360.a5 t360.a6 t360.a7 t360.a8 t360.a9 t360.a10 t360.a11))
% 20.66/21.01  (step t361 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t362 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t363 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t364 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t365 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t366 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t367 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t368 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t369 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t370 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t371 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t372 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule and_pos)
% 20.66/21.01  (step t373 (cl (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule resolution :premises (t360 t361 t362 t363 t364 t365 t366 t367 t368 t369 t370 t371 t372))
% 20.66/21.01  (step t374 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule reordering :premises (t373))
% 20.66/21.01  (step t375 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule contraction :premises (t374))
% 20.66/21.01  (step t376 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t359 t375))
% 20.66/21.01  (step t377 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule implies_neg2)
% 20.66/21.01  (step t378 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule resolution :premises (t376 t377))
% 20.66/21.01  (step t379 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule contraction :premises (t378))
% 20.66/21.01  (step t380 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule resolution :premises (t335 t358 t379))
% 20.66/21.01  (step t381 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule not_and :premises (t380))
% 20.66/21.01  (step t382 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule or_neg)
% 20.66/21.01  (step t383 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule or_neg)
% 20.66/21.01  (step t384 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule or_neg)
% 20.66/21.01  (step t385 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) :rule or_neg)
% 20.66/21.01  (step t386 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or_neg)
% 20.66/21.01  (step t387 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule or_neg)
% 20.66/21.01  (step t388 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule or_neg)
% 20.66/21.01  (step t389 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule or_neg)
% 20.66/21.01  (step t390 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule or_neg)
% 20.66/21.01  (step t391 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule or_neg)
% 20.66/21.01  (step t392 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))))) :rule or_neg)
% 20.66/21.01  (step t393 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (not (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule or_neg)
% 20.66/21.01  (step t394 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))))) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule resolution :premises (t381 t382 t383 t384 t385 t386 t387 t388 t389 t390 t391 t392 t393))
% 20.66/21.01  (step t395 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))))) :rule contraction :premises (t394))
% 20.66/21.01  (step t396 (cl (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t317 t334 t395))
% 20.66/21.01  (step t397 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule or :premises (t396))
% 20.66/21.01  (step t398 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t399)
% 20.66/21.01  (assume t399.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t399.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c8) (:= Z tptp.sk_c7)))
% 20.66/21.01  (step t399.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule or :premises (t399.t1))
% 20.66/21.01  (step t399.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule resolution :premises (t399.t2 t399.a0))
% 20.66/21.01  (step t399 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule subproof :discharge (t399.a0))
% 20.66/21.01  (step t400 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule resolution :premises (t398 t399))
% 20.66/21.01  (step t401 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule implies_neg2)
% 20.66/21.01  (step t402 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule resolution :premises (t400 t401))
% 20.66/21.01  (step t403 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule contraction :premises (t402))
% 20.66/21.01  (step t404 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule implies :premises (t403))
% 20.66/21.01  (step t405 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule resolution :premises (t404 a2))
% 20.66/21.01  (step t406 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t407)
% 20.66/21.01  (assume t407.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 20.66/21.01  (step t407.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 20.66/21.01  (step t407.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t407.t1))
% 20.66/21.01  (step t407.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t407.t2 t407.a0))
% 20.66/21.01  (step t407 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t407.a0))
% 20.66/21.01  (step t408 (cl (=> (forall ((X $$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 (t406 t407))
% 20.66/21.01  (step t409 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 20.66/21.01  (step t410 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t408 t409))
% 20.66/21.01  (step t411 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t410))
% 20.66/21.01  (step t412 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t411))
% 20.66/21.01  (step t413 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t412 t138))
% 20.66/21.01  (step t414 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t415)
% 20.66/21.01  (assume t415.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t415.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c7)) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 20.66/21.01  (step t415.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t415.t1))
% 20.66/21.01  (step t415.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t415.t2 t415.a0))
% 20.66/21.01  (step t415 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t415.a0))
% 20.66/21.01  (step t416 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t414 t415))
% 20.66/21.01  (step t417 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 20.66/21.01  (step t418 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t416 t417))
% 20.66/21.01  (step t419 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t418))
% 20.66/21.01  (step t420 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t419))
% 20.66/21.01  (step t421 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t420 a2))
% 20.66/21.01  (step t422 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t423)
% 20.66/21.01  (assume t423.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 20.66/21.01  (step t423.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 20.66/21.01  (step t423.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule or :premises (t423.t1))
% 20.66/21.01  (step t423.t3 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t423.t2 t423.a0))
% 20.66/21.01  (step t423 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule subproof :discharge (t423.a0))
% 20.66/21.01  (step t424 (cl (=> (forall ((X $$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 (t422 t423))
% 20.66/21.01  (step t425 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule implies_neg2)
% 20.66/21.01  (step t426 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule resolution :premises (t424 t425))
% 20.66/21.01  (step t427 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule contraction :premises (t426))
% 20.66/21.01  (step t428 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule implies :premises (t427))
% 20.66/21.01  (step t429 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t428 t138))
% 20.66/21.01  (step t430 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t431)
% 20.66/21.01  (assume t431.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 20.66/21.01  (step t431.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 20.66/21.01  (step t431.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t431.t1))
% 20.66/21.01  (step t431.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t431.t2 t431.a0))
% 20.66/21.01  (step t431 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t431.a0))
% 20.66/21.01  (step t432 (cl (=> (forall ((X $$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 (t430 t431))
% 20.66/21.01  (step t433 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 20.66/21.01  (step t434 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t432 t433))
% 20.66/21.01  (step t435 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t434))
% 20.66/21.01  (step t436 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t435))
% 20.66/21.01  (step t437 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t436 t149))
% 20.66/21.01  (step t438 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t439)
% 20.66/21.01  (assume t439.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 20.66/21.01  (step t439.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 20.66/21.01  (step t439.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule or :premises (t439.t1))
% 20.66/21.01  (step t439.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t439.t2 t439.a0))
% 20.66/21.01  (step t439 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule subproof :discharge (t439.a0))
% 20.66/21.01  (step t440 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t438 t439))
% 20.66/21.01  (step t441 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg2)
% 20.66/21.01  (step t442 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t440 t441))
% 20.66/21.01  (step t443 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule contraction :premises (t442))
% 20.66/21.01  (step t444 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule implies :premises (t443))
% 20.66/21.01  (step t445 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t444 t149))
% 20.66/21.01  (step t446 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t447)
% 20.66/21.01  (assume t447.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 20.66/21.01  (step t447.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 20.66/21.01  (step t447.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule or :premises (t447.t1))
% 20.66/21.01  (step t447.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t447.t2 t447.a0))
% 20.66/21.01  (step t447 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t447.a0))
% 20.66/21.01  (step t448 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t446 t447))
% 20.66/21.01  (step t449 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 20.66/21.01  (step t450 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t448 t449))
% 20.66/21.01  (step t451 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t450))
% 20.66/21.01  (step t452 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t451))
% 20.66/21.01  (step t453 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t452 t138))
% 20.66/21.01  (step t454 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t455)
% 20.66/21.01  (assume t455.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.01  (step t455.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule forall_inst :args ((:= X tptp.sk_c8) (:= Y tptp.sk_c1) (:= Z tptp.sk_c8)))
% 20.66/21.01  (step t455.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule or :premises (t455.t1))
% 20.66/21.01  (step t455.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t455.t2 t455.a0))
% 20.66/21.01  (step t455 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule subproof :discharge (t455.a0))
% 20.66/21.01  (step t456 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t454 t455))
% 20.66/21.01  (step t457 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule implies_neg2)
% 20.66/21.01  (step t458 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t456 t457))
% 20.66/21.01  (step t459 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule contraction :premises (t458))
% 20.66/21.01  (step t460 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule implies :premises (t459))
% 20.66/21.01  (step t461 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t460 a2))
% 20.66/21.01  (step t462 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 20.66/21.01  (step t463 (cl (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t462))
% 20.66/21.01  (step t464 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t465)
% 20.66/21.01  (assume t465.a0 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))))
% 20.66/21.01  (step t465.t1 (cl (or (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X5 tptp.sk_c1)))
% 20.66/21.01  (step t465.t2 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t465.t1))
% 20.66/21.01  (step t465.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t465.t2 t465.a0))
% 20.66/21.01  (step t465 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t465.a0))
% 20.66/21.01  (step t466 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t464 t465))
% 20.66/21.01  (step t467 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 20.66/21.01  (step t468 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t466 t467))
% 20.66/21.01  (step t469 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t468))
% 20.66/21.01  (step t470 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t469))
% 20.66/21.01  (step t471 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule or :premises (t233))
% 20.66/21.01  (step t472 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t473)
% 20.66/21.01  (assume t473.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))
% 20.66/21.01  (step t473.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 20.66/21.01  (step t473.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t473.t1))
% 20.66/21.01  (step t473.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t473.t2 t473.a0))
% 20.66/21.01  (step t473 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t473.a0))
% 20.66/21.01  (step t474 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t472 t473))
% 20.66/21.01  (step t475 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 20.66/21.01  (step t476 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t474 t475))
% 20.66/21.01  (step t477 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t476))
% 20.66/21.01  (step t478 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t477))
% 20.66/21.01  (step t479 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 20.66/21.01  (step t480 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t479))
% 20.66/21.01  (step t481 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule and_neg)
% 20.66/21.01  (step t482 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t483)
% 20.66/21.01  (assume t483.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 20.66/21.01  (assume t483.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 20.66/21.01  (assume t483.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 20.66/21.01  (assume t483.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 20.66/21.01  (assume t483.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 20.66/21.01  (assume t483.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 20.66/21.01  (assume t483.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 20.66/21.01  (assume t483.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 20.66/21.01  (assume t483.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 20.66/21.01  (assume t483.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 20.66/21.01  (assume t483.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))
% 20.66/21.01  (step t483.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t483.t2)
% 20.66/21.01  (assume t483.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 20.66/21.01  (assume t483.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 20.66/21.01  (assume t483.t2.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 20.66/21.01  (assume t483.t2.a3 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 20.66/21.01  (assume t483.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 20.66/21.01  (assume t483.t2.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 20.66/21.01  (assume t483.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 20.66/21.01  (assume t483.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))
% 20.66/21.01  (assume t483.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 20.66/21.01  (assume t483.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 20.66/21.01  (assume t483.t2.a10 (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 20.66/21.01  (step t483.t2.t1 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t483.t2.a2))
% 20.66/21.01  (step t483.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule symm :premises (t483.t2.t1))
% 20.66/21.01  (step t483.t2.t3 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 20.66/21.01  (step t483.t2.t4 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) :rule symm :premises (t483.t2.a10))
% 20.66/21.01  (step t483.t2.t5 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t483.t2.t4))
% 20.66/21.01  (step t483.t2.t6 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 20.66/21.01  (step t483.t2.t7 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c6))) :rule cong :premises (t483.t2.t2 t483.t2.t6))
% 20.66/21.01  (step t483.t2.t8 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t483.t2.t2))
% 20.66/21.01  (step t483.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t483.t2.a9))
% 20.66/21.01  (step t483.t2.t10 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t483.t2.t9))
% 20.66/21.01  (step t483.t2.t11 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 20.66/21.01  (step t483.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t483.t2.a1 t483.t2.t11))
% 20.66/21.01  (step t483.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t483.t2.a8))
% 20.66/21.01  (step t483.t2.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t483.t2.t13))
% 20.66/21.01  (step t483.t2.t15 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 20.66/21.01  (step t483.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7))) :rule cong :premises (t483.t2.t2 t483.t2.t11))
% 20.66/21.01  (step t483.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7))) :rule symm :premises (t483.t2.a7))
% 20.66/21.01  (step t483.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule symm :premises (t483.t2.t17))
% 20.66/21.01  (step t483.t2.t19 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 20.66/21.01  (step t483.t2.t20 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c7) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule cong :premises (t483.t2.t19 t483.t2.t2))
% 20.66/21.01  (step t483.t2.t21 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t483.t2.a6))
% 20.66/21.01  (step t483.t2.t22 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t483.t2.a5))
% 20.66/21.01  (step t483.t2.t23 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t483.t2.t22))
% 20.66/21.01  (step t483.t2.t24 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t483.t2.t23 t483.t2.t3))
% 20.66/21.01  (step t483.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t483.t2.a4))
% 20.66/21.01  (step t483.t2.t26 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.identity)) :rule trans :premises (t483.t2.t24 t483.t2.t25))
% 20.66/21.01  (step t483.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t483.t2.t26 t483.t2.t19))
% 20.66/21.01  (step t483.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t483.t2.a3))
% 20.66/21.01  (step t483.t2.t29 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c7) tptp.sk_c8)) :rule trans :premises (t483.t2.t20 t483.t2.t21 t483.t2.t27 t483.t2.t28))
% 20.66/21.01  (step t483.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule cong :premises (t483.t2.t3 t483.t2.t29))
% 20.66/21.01  (step t483.t2.t31 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7)) :rule trans :premises (t483.t2.t16 t483.t2.t18 t483.t2.t30 t483.t2.t8))
% 20.66/21.01  (step t483.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t483.t2.t15 t483.t2.t31))
% 20.66/21.01  (step t483.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t483.t2.a1))
% 20.66/21.01  (step t483.t2.t34 (cl (= tptp.sk_c7 tptp.identity)) :rule trans :premises (t483.t2.t10 t483.t2.t12 t483.t2.t14 t483.t2.t32 t483.t2.t33))
% 20.66/21.01  (step t483.t2.t35 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.identity)) :rule trans :premises (t483.t2.t8 t483.t2.t34))
% 20.66/21.01  (step t483.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t483.t2.t35 t483.t2.t6))
% 20.66/21.01  (step t483.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t483.t2.a0))
% 20.66/21.01  (step t483.t2.t38 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t483.t2.t37))
% 20.66/21.01  (step t483.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t483.t2.t38))
% 20.66/21.01  (step t483.t2.t40 (cl (= tptp.sk_c8 tptp.sk_c6)) :rule trans :premises (t483.t2.t5 t483.t2.t7 t483.t2.t36 t483.t2.t39))
% 20.66/21.01  (step t483.t2.t41 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t483.t2.t3 t483.t2.t40))
% 20.66/21.01  (step t483.t2.t42 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t483.t2.t2 t483.t2.t41))
% 20.66/21.01  (step t483.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (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.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t483.t2.a0 t483.t2.a1 t483.t2.a2 t483.t2.a3 t483.t2.a4 t483.t2.a5 t483.t2.a6 t483.t2.a7 t483.t2.a8 t483.t2.a9 t483.t2.a10))
% 20.66/21.01  (step t483.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t483.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t483.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t483.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t483.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t483.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t483.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t483.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t483.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t483.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t483.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t483.t14 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t483.t2 t483.t3 t483.t4 t483.t5 t483.t6 t483.t7 t483.t8 t483.t9 t483.t10 t483.t11 t483.t12 t483.t13))
% 20.66/21.01  (step t483.t15 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t483.t14))
% 20.66/21.01  (step t483.t16 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t483.t15))
% 20.66/21.01  (step t483.t17 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t483.t1 t483.t16))
% 20.66/21.01  (step t483.t18 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 20.66/21.01  (step t483.t19 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t483.t17 t483.t18))
% 20.66/21.01  (step t483.t20 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t483.t19))
% 20.66/21.01  (step t483.t21 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t483.t20))
% 20.66/21.01  (step t483.t22 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (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.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_neg)
% 20.66/21.01  (step t483.t23 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t483.t22 t483.a9 t483.a5 t483.a1 t483.a7 t483.a6 t483.a2 t483.a3 t483.a10 t483.a8 t483.a4 t483.a0))
% 20.66/21.01  (step t483.t24 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t483.t21 t483.t23))
% 20.66/21.01  (step t483 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t483.a0 t483.a1 t483.a2 t483.a3 t483.a4 t483.a5 t483.a6 t483.a7 t483.a8 t483.a9 t483.a10))
% 20.66/21.01  (step t484 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t485 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t486 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t487 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.01  (step t488 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t489 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 20.66/21.01  (step t490 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t491 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 20.66/21.01  (step t492 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t493 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 20.66/21.01  (step t494 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.01  (step t495 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))))) :rule resolution :premises (t483 t484 t485 t486 t487 t488 t489 t490 t491 t492 t493 t494))
% 20.66/21.01  (step t496 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t495))
% 20.66/21.01  (step t497 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t496))
% 20.66/21.01  (step t498 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t482 t497))
% 20.66/21.01  (step t499 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 20.66/21.01  (step t500 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t498 t499))
% 20.66/21.01  (step t501 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t500))
% 20.66/21.01  (step t502 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t501))
% 20.66/21.01  (step t503 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t481 t502))
% 20.66/21.01  (step t504 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule reordering :premises (t503))
% 20.66/21.01  (step t505 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t506)
% 20.66/21.01  (assume t506.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 20.66/21.01  (assume t506.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 20.66/21.01  (assume t506.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 20.66/21.01  (assume t506.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 20.66/21.01  (assume t506.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 20.66/21.01  (assume t506.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 20.66/21.01  (assume t506.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 20.66/21.01  (assume t506.a7 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 20.66/21.01  (assume t506.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 20.66/21.01  (assume t506.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 20.66/21.01  (assume t506.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))
% 20.66/21.01  (step t506.t1 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t506.t2)
% 20.66/21.01  (assume t506.t2.a0 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 20.66/21.01  (assume t506.t2.a1 (= tptp.sk_c6 tptp.sk_c8))
% 20.66/21.01  (step t506.t2.t1 (cl (= tptp.sk_c8 tptp.sk_c6)) :rule symm :premises (t506.t2.a1))
% 20.66/21.01  (step t506.t2.t2 (cl (= tptp.sk_c6 tptp.sk_c8)) :rule symm :premises (t506.t2.t1))
% 20.66/21.01  (step t506.t2.t3 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t506.t2.a0))
% 20.66/21.01  (step t506.t2.t4 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t506.t2.t3))
% 20.66/21.01  (step t506.t2.t5 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t506.t2.t2 t506.t2.t4))
% 20.66/21.01  (step t506.t2 (cl (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t506.t2.a0 t506.t2.a1))
% 20.66/21.01  (step t506.t3 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 20.66/21.01  (step t506.t4 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) (= tptp.sk_c6 tptp.sk_c8)) :rule and_pos)
% 20.66/21.01  (step t506.t5 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8)))) :rule resolution :premises (t506.t2 t506.t3 t506.t4))
% 20.66/21.01  (step t506.t6 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t506.t5))
% 20.66/21.01  (step t506.t7 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t506.t6))
% 20.66/21.01  (step t506.t8 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t506.t1 t506.t7))
% 20.66/21.01  (step t506.t9 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 20.66/21.01  (step t506.t10 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t506.t8 t506.t9))
% 20.66/21.01  (step t506.t11 (cl (=> (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t506.t10))
% 20.66/21.01  (step t506.t12 (cl (not (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t506.t11))
% 20.66/21.01  (step t506.t13 (cl (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 tptp.sk_c8))) :rule and_neg)
% 20.66/21.01  (step t506.t14 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 tptp.sk_c8)) (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 20.66/21.01  (anchor :step t506.t15)
% 20.66/21.01  (assume t506.t15.a0 (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))
% 20.66/21.01  (assume t506.t15.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 20.66/21.01  (assume t506.t15.a2 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 20.66/21.01  (assume t506.t15.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 20.66/21.01  (assume t506.t15.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 20.66/21.01  (assume t506.t15.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))
% 20.66/21.01  (assume t506.t15.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 20.66/21.01  (assume t506.t15.a7 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 20.66/21.01  (assume t506.t15.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 20.66/21.01  (assume t506.t15.a9 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 20.66/21.01  (assume t506.t15.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 20.66/21.01  (step t506.t15.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t506.t15.a10))
% 20.66/21.01  (step t506.t15.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t506.t15.t1))
% 20.66/21.01  (step t506.t15.t3 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 20.66/21.01  (step t506.t15.t4 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 20.66/21.01  (step t506.t15.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t506.t15.a9))
% 20.66/21.01  (step t506.t15.t6 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule symm :premises (t506.t15.t5))
% 20.66/21.01  (step t506.t15.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t506.t15.a8))
% 20.66/21.01  (step t506.t15.t8 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t506.t15.t7))
% 20.66/21.01  (step t506.t15.t9 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t506.t15.a7))
% 20.66/21.01  (step t506.t15.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule cong :premises (t506.t15.t9 t506.t15.t4))
% 20.66/21.01  (step t506.t15.t11 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule trans :premises (t506.t15.t8 t506.t15.t10))
% 20.66/21.01  (step t506.t15.t12 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 20.66/21.01  (step t506.t15.t13 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t506.t15.t11 t506.t15.t12))
% 20.66/21.01  (step t506.t15.t14 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8))) :rule symm :premises (t506.t15.a6))
% 20.66/21.01  (step t506.t15.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule symm :premises (t506.t15.t14))
% 20.66/21.01  (step t506.t15.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t506.t15.a1))
% 20.66/21.01  (step t506.t15.t17 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c7))) :rule cong :premises (t506.t15.t12 t506.t15.t16))
% 20.66/21.01  (step t506.t15.t18 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) :rule trans :premises (t506.t15.t6 t506.t15.t13 t506.t15.t15 t506.t15.t17))
% 20.66/21.01  (step t506.t15.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule cong :premises (t506.t15.t4 t506.t15.t18))
% 20.66/21.01  (step t506.t15.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7))) :rule symm :premises (t506.t15.a5))
% 20.66/21.01  (step t506.t15.t21 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 20.66/21.01  (step t506.t15.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t506.t15.t16 t506.t15.t21))
% 20.66/21.01  (step t506.t15.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t506.t15.a1 t506.t15.t19 t506.t15.t20 t506.t15.t22))
% 20.66/21.01  (step t506.t15.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t506.t15.t3 t506.t15.t23))
% 20.66/21.01  (step t506.t15.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t506.t15.a4))
% 20.66/21.01  (step t506.t15.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t506.t15.a3))
% 20.66/21.01  (step t506.t15.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t506.t15.t26 t506.t15.t21))
% 20.66/21.01  (step t506.t15.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t506.t15.a2))
% 20.66/21.01  (step t506.t15.t29 (cl (= tptp.identity tptp.sk_c7)) :rule trans :premises (t506.t15.a3 t506.t15.t24 t506.t15.t25 t506.t15.t27 t506.t15.t28))
% 20.66/21.01  (step t506.t15.t30 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule trans :premises (t506.t15.t29 t506.t15.a1))
% 20.66/21.02  (step t506.t15.t31 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 20.66/21.02  (step t506.t15.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c6))) :rule cong :premises (t506.t15.t30 t506.t15.t31))
% 20.66/21.02  (step t506.t15.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t506.t15.t16 t506.t15.t31))
% 20.66/21.02  (step t506.t15.t34 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) :rule symm :premises (t506.t15.a0))
% 20.66/21.02  (step t506.t15.t35 (cl (= tptp.sk_c6 tptp.sk_c8)) :rule trans :premises (t506.t15.t2 t506.t15.t32 t506.t15.t33 t506.t15.t34))
% 20.66/21.02  (step t506.t15 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (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_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 tptp.sk_c8)) :rule subproof :discharge (t506.t15.a0 t506.t15.a1 t506.t15.a2 t506.t15.a3 t506.t15.a4 t506.t15.a5 t506.t15.a6 t506.t15.a7 t506.t15.a8 t506.t15.a9 t506.t15.a10))
% 20.66/21.02  (step t506.t16 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 20.66/21.02  (step t506.t17 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 20.66/21.02  (step t506.t18 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 20.66/21.02  (step t506.t19 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 20.66/21.02  (step t506.t20 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.02  (step t506.t21 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.02  (step t506.t22 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.02  (step t506.t23 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 20.66/21.02  (step t506.t24 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 20.66/21.02  (step t506.t25 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 20.66/21.02  (step t506.t26 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 20.66/21.02  (step t506.t27 (cl (= tptp.sk_c6 tptp.sk_c8) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t506.t15 t506.t16 t506.t17 t506.t18 t506.t19 t506.t20 t506.t21 t506.t22 t506.t23 t506.t24 t506.t25 t506.t26))
% 20.66/21.02  (step t506.t28 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 tptp.sk_c8)) :rule reordering :premises (t506.t27))
% 20.66/21.02  (step t506.t29 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 tptp.sk_c8)) :rule contraction :premises (t506.t28))
% 20.66/21.02  (step t506.t30 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 tptp.sk_c8)) (= tptp.sk_c6 tptp.sk_c8)) :rule resolution :premises (t506.t14 t506.t29))
% 20.66/21.02  (step t506.t31 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 tptp.sk_c8)) (not (= tptp.sk_c6 tptp.sk_c8))) :rule implies_neg2)
% 20.66/21.02  (step t506.t32 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 tptp.sk_c8)) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 tptp.sk_c8))) :rule resolution :premises (t506.t30 t506.t31))
% 20.66/21.02  (step t506.t33 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 tptp.sk_c8))) :rule contraction :premises (t506.t32))
% 20.66/21.02  (step t506.t34 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 tptp.sk_c8)) :rule implies :premises (t506.t33))
% 20.66/21.02  (step t506.t35 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (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_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 20.66/21.02  (step t506.t36 (cl (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t506.t35 t506.a0 t506.a1 t506.a4 t506.a5 t506.a8 t506.a10 t506.a3 t506.a2 t506.a6 t506.a7 t506.a9))
% 20.66/21.02  (step t506.t37 (cl (= tptp.sk_c6 tptp.sk_c8)) :rule resolution :premises (t506.t34 t506.t36))
% 20.66/21.02  (step t506.t38 (cl (and (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 tptp.sk_c8))) :rule resolution :premises (t506.t13 t506.a2 t506.t37))
% 20.66/21.02  (step t506.t39 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t506.t12 t506.t38))
% 20.66/21.02  (step t506 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t506.a0 t506.a1 t506.a2 t506.a3 t506.a4 t506.a5 t506.a6 t506.a7 t506.a8 t506.a9 t506.a10))
% 20.66/21.02  (step t507 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule and_pos)
% 20.66/21.02  (step t508 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 20.66/21.02  (step t509 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 20.66/21.02  (step t510 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule and_pos)
% 20.66/21.02  (step t511 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 20.66/21.02  (step t512 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 20.66/21.02  (step t513 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 20.66/21.02  (step t514 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 20.66/21.02  (step t515 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.02  (step t516 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 20.66/21.02  (step t517 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule and_pos)
% 20.66/21.02  (step t518 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))))) :rule resolution :premises (t506 t507 t508 t509 t510 t511 t512 t513 t514 t515 t516 t517))
% 20.66/21.02  (step t519 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t518))
% 20.66/21.02  (step t520 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t519))
% 20.66/21.02  (step t521 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t505 t520))
% 20.66/21.02  (step t522 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 20.66/21.02  (step t523 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t521 t522))
% 20.66/21.02  (step t524 (cl (=> (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t523))
% 20.66/21.02  (step t525 (cl (not (and (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t524))
% 20.66/21.02  (step t526 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t481 t525))
% 20.66/21.02  (step t527 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule reordering :premises (t526))
% 20.66/21.02  (step t528 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (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_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule resolution :premises (t397 t405 t413 t421 t429 t437 t445 t453 t461 t463 t470 t471 t478 t480 t504 t405 t413 t421 t429 t437 t445 t453 t461 t527 t405 t413 t421 t429 t437 t445 t453 t461 t236))
% 20.66/21.02  (step t529 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule contraction :premises (t528))
% 20.66/21.02  (step t530 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule implies_neg1)
% 20.66/21.02  (anchor :step t531)
% 20.66/21.02  (assume t531.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))
% 20.66/21.02  (step t531.t1 (cl (or (not (forall ((X2 $$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_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X2 tptp.sk_c1)))
% 20.66/21.02  (step t531.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t531.t1))
% 20.66/21.02  (step t531.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t531.t2 t531.a0))
% 20.66/21.02  (step t531 (cl (not (forall ((X2 $$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_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t531.a0))
% 20.66/21.02  (step t532 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t530 t531))
% 20.66/21.02  (step t533 (cl (=> (forall ((X2 $$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_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 20.66/21.02  (step t534 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X2 $$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_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t532 t533))
% 20.66/21.02  (step t535 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t534))
% 20.66/21.02  (step t536 (cl (not (forall ((X2 $$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_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t535))
% 20.66/21.02  (step t537 (cl (not (or (not (= tptp.sk_c7 (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_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 20.66/21.02  (step t538 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t537))
% 20.66/21.02  (step t539 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (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_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t529 t536 t538))
% 20.66/21.02  (step t540 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t539))
% 20.66/21.02  (step t541 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5)))))) :rule or :premises (t233))
% 20.66/21.02  (step t542 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule resolution :premises (t245 t270 t541 t219 t238 t268 t236))
% 20.66/21.02  (step t543 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule contraction :premises (t542))
% 20.66/21.02  (step t544 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 20.66/21.02  (step t545 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 20.66/21.02  (step t546 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c4) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t545 t209))
% 20.66/21.02  (step t547 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t544 t546 a23))
% 20.66/21.02  (step t548 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) :rule or :premises (t547))
% 20.66/21.02  (step t549 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t548))
% 20.66/21.02  (step t550 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule equiv_pos2)
% 20.66/21.02  (step t551 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule cong :premises (t545 t280))
% 20.66/21.02  (step t552 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t550 t551 a22))
% 20.66/21.02  (step t553 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule or :premises (t552))
% 20.66/21.02  (step t554 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t553))
% 20.66/21.02  (step t555 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule equiv_pos2)
% 20.66/21.02  (step t556 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule cong :premises (t545 t286))
% 20.66/21.02  (step t557 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t555 t556 a21))
% 20.66/21.02  (step t558 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule or :premises (t557))
% 20.66/21.02  (step t559 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t558))
% 20.66/21.02  (step t560 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 20.66/21.02  (step t561 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t545 t292))
% 20.66/21.02  (step t562 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t560 t561 a20))
% 20.66/21.02  (step t563 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule or :premises (t562))
% 20.66/21.02  (step t564 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t563))
% 20.66/21.02  (step t565 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 20.66/21.02  (step t566 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t545 t298))
% 20.66/21.02  (step t567 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t565 t566 a19))
% 20.66/21.02  (step t568 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t567))
% 20.66/21.02  (step t569 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t568))
% 20.66/21.02  (step t570 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 20.66/21.02  (step t571 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t545 t304))
% 20.66/21.02  (step t572 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t570 t571 a18))
% 20.66/21.02  (step t573 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) :rule or :premises (t572))
% 20.66/21.02  (step t574 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t573))
% 20.66/21.02  (step t575 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule equiv_pos2)
% 20.66/21.02  (step t576 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule cong :premises (t545 t310))
% 20.66/21.02  (step t577 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule resolution :premises (t575 t576 a17))
% 20.66/21.02  (step t578 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) :rule or :premises (t577))
% 20.66/21.02  (step t579 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t578))
% 20.66/21.02  (step t580 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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)) (= 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 (t543 t254 t272 t549 t554 t559 t564 t569 t574 t579))
% 20.66/21.02  (step t581 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t580))
% 20.66/21.02  (step t582 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule reordering :premises (t581))
% 20.66/21.02  (step t583 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t316 t540 t582))
% 20.66/21.02  (step t584 (cl (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule contraction :premises (t583))
% 20.66/21.02  (step t585 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t212 t584))
% 20.66/21.02  (step t586 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5))) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule equiv_pos2)
% 20.66/21.02  (step t587 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c4 tptp.sk_c8) tptp.sk_c5)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))))) :rule cong :premises (t208 t280))
% 20.66/21.02  (step t588 (cl (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8)))) :rule resolution :premises (t586 t587 a8))
% 20.66/21.02  (step t589 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule or :premises (t588))
% 20.66/21.02  (step t590 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) :rule resolution :premises (t589 t584))
% 20.66/21.02  (step t591 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule equiv_pos2)
% 20.66/21.02  (step t592 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule cong :premises (t208 t286))
% 20.66/21.02  (step t593 (cl (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t591 t592 a7))
% 20.66/21.02  (step t594 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule or :premises (t593))
% 20.66/21.02  (step t595 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule resolution :premises (t594 t584))
% 20.66/21.02  (step t596 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6))) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 20.66/21.02  (step t597 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t208 t292))
% 20.66/21.02  (step t598 (cl (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t596 t597 a6))
% 20.66/21.02  (step t599 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule or :premises (t598))
% 20.66/21.02  (step t600 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t599 t584))
% 20.66/21.02  (step t601 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8))) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))) :rule equiv_pos2)
% 20.66/21.02  (step t602 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.inverse tptp.sk_c2) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))))) :rule cong :premises (t208 t304))
% 20.66/21.02  (step t603 (cl (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t601 t602 a4))
% 20.66/21.02  (step t604 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) :rule or :premises (t603))
% 20.66/21.02  (step t605 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t604 t584))
% 20.66/21.02  (step t606 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7))) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule equiv_pos2)
% 20.66/21.02  (step t607 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8) (= (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))))) :rule cong :premises (t208 t310))
% 20.66/21.02  (step t608 (cl (or (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8)))) :rule resolution :premises (t606 t607 a3))
% 20.66/21.02  (step t609 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) :rule or :premises (t608))
% 20.66/21.02  (step t610 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) :rule resolution :premises (t609 t584))
% 20.66/21.02  (step t611 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 20.66/21.02  (anchor :step t612)
% 20.66/21.02  (assume t612.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 20.66/21.02  (step t612.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c2) (:= Y tptp.sk_c8) (:= Z tptp.sk_c7)))
% 20.66/21.02  (step t612.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule or :premises (t612.t1))
% 20.66/21.02  (step t612.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule resolution :premises (t612.t2 t612.a0))
% 20.66/21.02  (step t612 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule subproof :discharge (t612.a0))
% 20.66/21.02  (step t613 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule resolution :premises (t611 t612))
% 20.66/21.02  (step t614 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule implies_neg2)
% 20.66/21.02  (step t615 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule resolution :premises (t613 t614))
% 20.66/21.02  (step t616 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) :rule contraction :premises (t615))
% 20.66/21.02  (step t617 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule implies :premises (t616))
% 20.66/21.02  (step t618 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.sk_c8) tptp.sk_c7) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 tptp.sk_c7)))) :rule resolution :premises (t617 a2))
% 20.66/21.02  (step t619 (cl) :rule resolution :premises (t120 t128 t139 t150 t158 t166 t174 t182 t190 t198 t206 t585 t590 t595 t600 t605 t610 t584 t618 t413 t421 t429 t445 t453))
% 20.66/21.02  
% 20.66/21.02  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.3I3ImXPvE6/cvc5---1.0.5_14901.smt2
% 20.66/21.02  % cvc5---1.0.5 exiting
% 20.66/21.02  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------