%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP268-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 16:54:05 EDT 2024

% Result   : Unsatisfiable 10.94s 11.20s
% Output   : Proof 11.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : GRP268-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.17  % Command    : do_cvc5 %s %d
% 0.18/0.40  % Computer : n002.cluster.edu
% 0.18/0.40  % Model    : x86_64 x86_64
% 0.18/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40  % Memory   : 8042.1875MB
% 0.18/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40  % CPULimit   : 300
% 0.18/0.40  % WCLimit    : 300
% 0.18/0.40  % DateTime   : Sun May 26 17:18:39 EDT 2024
% 0.26/0.40  % CPUTime    : 
% 0.26/0.54  %----Proving TF0_NAR, FOF, or CNF
% 0.26/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.63/10.87  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.94/11.20  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.vEeUjFjDNT/cvc5---1.0.5_23114.smt2
% 10.94/11.20  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.vEeUjFjDNT/cvc5---1.0.5_23114.smt2
% 11.11/11.30  (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 11.11/11.30  (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 11.11/11.30  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.30  (assume a3 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.11/11.30  (assume a4 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.11/11.30  (assume a5 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.11/11.30  (assume a6 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.11/11.30  (assume a7 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.11/11.30  (assume a8 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.11/11.30  (assume a9 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.11/11.30  (assume a10 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.11/11.30  (assume a11 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.11/11.30  (assume a12 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.11/11.30  (assume a13 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.11/11.30  (assume a14 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.11/11.30  (assume a15 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.11/11.30  (assume a16 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.11/11.30  (assume a17 (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.11/11.30  (assume a18 (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c4) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.11/11.30  (assume a19 (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c4) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.11/11.30  (assume a20 (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c4) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.11/11.30  (assume a21 (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)))
% 11.11/11.30  (assume a22 (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.11/11.30  (assume a23 (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))
% 11.11/11.30  (assume a24 (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) 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_c6 X4) tptp.sk_c7)) (not (= (tptp.multiply X5 tptp.sk_c6) X4)) (not (= (tptp.inverse X5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))))
% 11.11/11.30  (step t1 (cl (not (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 X4) tptp.sk_c7)) (not (= (tptp.multiply X5 tptp.sk_c6) X4)) (not (= (tptp.inverse X5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((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_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1)))))))) (not (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) 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_c6 X4) tptp.sk_c7)) (not (= (tptp.multiply X5 tptp.sk_c6) X4)) (not (= (tptp.inverse X5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c7))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) :rule equiv_pos2)
% 11.11/11.30  (anchor :step t2 :args ((X2 $$unsorted) (:= X2 X2) (X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X5 $$unsorted) (:= X5 X5) (X1 $$unsorted) (:= X1 X1)))
% 11.11/11.30  (step t2.t1 (cl (= X2 X2)) :rule refl)
% 11.11/11.30  (step t2.t2 (cl (= X3 X3)) :rule refl)
% 11.11/11.30  (step t2.t3 (cl (= X4 X4)) :rule refl)
% 11.11/11.30  (step t2.t4 (cl (= X5 X5)) :rule refl)
% 11.11/11.30  (step t2.t5 (cl (= X1 X1)) :rule refl)
% 11.11/11.30  (step t2.t6 (cl (= (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8)))) :rule all_simplify)
% 11.11/11.30  (step t2.t7 (cl (= (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))))) :rule cong :premises (t2.t6))
% 11.11/11.30  (step t2.t8 (cl (= (= (tptp.inverse X2) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse X2)))) :rule all_simplify)
% 11.11/11.30  (step t2.t9 (cl (= (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.inverse X2))))) :rule cong :premises (t2.t8))
% 11.11/11.30  (step t2.t10 (cl (= (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6)))) :rule all_simplify)
% 11.11/11.30  (step t2.t11 (cl (= (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))))) :rule cong :premises (t2.t10))
% 11.11/11.30  (step t2.t12 (cl (= (= (tptp.inverse X3) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X3)))) :rule all_simplify)
% 11.11/11.30  (step t2.t13 (cl (= (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X3))))) :rule cong :premises (t2.t12))
% 11.11/11.30  (step t2.t14 (cl (= (= (tptp.multiply tptp.sk_c6 X4) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 X4)))) :rule all_simplify)
% 11.11/11.30  (step t2.t15 (cl (= (not (= (tptp.multiply tptp.sk_c6 X4) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 X4))))) :rule cong :premises (t2.t14))
% 11.11/11.30  (step t2.t16 (cl (= (= (tptp.multiply X5 tptp.sk_c6) X4) (= X4 (tptp.multiply X5 tptp.sk_c6)))) :rule all_simplify)
% 11.11/11.30  (step t2.t17 (cl (= (not (= (tptp.multiply X5 tptp.sk_c6) X4)) (not (= X4 (tptp.multiply X5 tptp.sk_c6))))) :rule cong :premises (t2.t16))
% 11.11/11.30  (step t2.t18 (cl (= (= (tptp.inverse X5) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X5)))) :rule all_simplify)
% 11.11/11.30  (step t2.t19 (cl (= (not (= (tptp.inverse X5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X5))))) :rule cong :premises (t2.t18))
% 11.11/11.30  (step t2.t20 (cl (= (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8)))) :rule all_simplify)
% 11.11/11.30  (step t2.t21 (cl (= (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))))) :rule cong :premises (t2.t20))
% 11.11/11.30  (step t2.t22 (cl (= (= (tptp.inverse X1) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse X1)))) :rule all_simplify)
% 11.11/11.30  (step t2.t23 (cl (= (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= tptp.sk_c8 (tptp.inverse X1))))) :rule cong :premises (t2.t22))
% 11.11/11.30  (step t2.t24 (cl (= (= (tptp.inverse tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule all_simplify)
% 11.11/11.30  (step t2.t25 (cl (= (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t2.t24))
% 11.11/11.30  (step t2.t26 (cl (= (or (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) 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_c6 X4) tptp.sk_c7)) (not (= (tptp.multiply X5 tptp.sk_c6) X4)) (not (= (tptp.inverse X5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c7))) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))))) :rule cong :premises (t2.t7 t2.t9 t2.t11 t2.t13 t2.t15 t2.t17 t2.t19 t2.t21 t2.t23 t2.t25))
% 11.11/11.30  (step t2 (cl (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) 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_c6 X4) tptp.sk_c7)) (not (= (tptp.multiply X5 tptp.sk_c6) X4)) (not (= (tptp.inverse X5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))) (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))))) :rule bind)
% 11.11/11.30  (step t3 (cl (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$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_c7 (tptp.multiply tptp.sk_c6 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1)))))))) :rule all_simplify)
% 11.11/11.30  (step t4 (cl (= (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule refl)
% 11.11/11.30  (step t5 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))) :rule refl)
% 11.11/11.30  (step t6 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))) :rule refl)
% 11.11/11.30  (step t7 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= (tptp.multiply X5 tptp.sk_c6) (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))))))) :rule all_simplify)
% 11.11/11.30  (anchor :step t8 :args ((X5 $$unsorted) (:= X5 X5)))
% 11.11/11.30  (step t8.t1 (cl (= X5 X5)) :rule refl)
% 11.11/11.30  (step t8.t2 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))))) :rule refl)
% 11.11/11.30  (step t8.t3 (cl (= (= (tptp.multiply X5 tptp.sk_c6) (tptp.multiply X5 tptp.sk_c6)) true)) :rule all_simplify)
% 11.11/11.30  (step t8.t4 (cl (= (not (= (tptp.multiply X5 tptp.sk_c6) (tptp.multiply X5 tptp.sk_c6))) (not true))) :rule cong :premises (t8.t3))
% 11.11/11.30  (step t8.t5 (cl (= (not true) false)) :rule all_simplify)
% 11.11/11.30  (step t8.t6 (cl (= (not (= (tptp.multiply X5 tptp.sk_c6) (tptp.multiply X5 tptp.sk_c6))) false)) :rule trans :premises (t8.t4 t8.t5))
% 11.11/11.30  (step t8.t7 (cl (= (not (= tptp.sk_c6 (tptp.inverse X5))) (not (= tptp.sk_c6 (tptp.inverse X5))))) :rule refl)
% 11.11/11.30  (step t8.t8 (cl (= (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= (tptp.multiply X5 tptp.sk_c6) (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) false (not (= tptp.sk_c6 (tptp.inverse X5)))))) :rule cong :premises (t8.t2 t8.t6 t8.t7))
% 11.11/11.30  (step t8.t9 (cl (= (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) false (not (= tptp.sk_c6 (tptp.inverse X5)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5)))))) :rule all_simplify)
% 11.11/11.30  (step t8.t10 (cl (= (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= (tptp.multiply X5 tptp.sk_c6) (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5)))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5)))))) :rule trans :premises (t8.t8 t8.t9))
% 11.11/11.30  (step t8 (cl (= (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= (tptp.multiply X5 tptp.sk_c6) (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))))) :rule bind)
% 11.11/11.30  (step t9 (cl (= (forall ((X4 $$unsorted) (X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))))) :rule trans :premises (t7 t8))
% 11.11/11.30  (step t10 (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)
% 11.11/11.30  (step t11 (cl (= (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$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_c7 (tptp.multiply tptp.sk_c6 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((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_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1)))))))) :rule cong :premises (t4 t5 t6 t9 t10))
% 11.11/11.30  (step t12 (cl (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 X4))) (not (= X4 (tptp.multiply X5 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X5))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1)))))))) :rule trans :premises (t3 t11))
% 11.11/11.30  (step t13 (cl (= (forall ((X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X3) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 X4) tptp.sk_c7)) (not (= (tptp.multiply X5 tptp.sk_c6) X4)) (not (= (tptp.inverse X5) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((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_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1)))))))) :rule trans :premises (t2 t12))
% 11.11/11.30  (step t14 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((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_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) :rule resolution :premises (t1 t13 a24))
% 11.11/11.30  (step t15 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((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_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1)))))) :rule or :premises (t14))
% 11.11/11.30  (step t16 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5)))))) :rule reordering :premises (t15))
% 11.11/11.30  (step t17 (cl (=> (forall ((X3 $$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.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t18)
% 11.11/11.30  (assume t18.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))
% 11.11/11.30  (step t18.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X3 tptp.identity)))
% 11.11/11.30  (step t18.t2 (cl (not (forall ((X3 $$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.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule or :premises (t18.t1))
% 11.11/11.30  (step t18.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule resolution :premises (t18.t2 t18.a0))
% 11.11/11.30  (step t18 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule subproof :discharge (t18.a0))
% 11.11/11.30  (step t19 (cl (=> (forall ((X3 $$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.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule resolution :premises (t17 t18))
% 11.11/11.30  (step t20 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 11.11/11.30  (step t21 (cl (=> (forall ((X3 $$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.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t19 t20))
% 11.11/11.30  (step t22 (cl (=> (forall ((X3 $$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.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule contraction :premises (t21))
% 11.11/11.30  (step t23 (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.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) :rule implies :premises (t22))
% 11.11/11.30  (step t24 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule or_pos)
% 11.11/11.30  (step t25 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule reordering :premises (t24))
% 11.11/11.30  (step t26 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule and_neg)
% 11.11/11.30  (step t27 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t28)
% 11.11/11.30  (assume t28.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.11/11.30  (assume t28.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.11/11.30  (assume t28.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t28.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t28.a4 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t28.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t28.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.11/11.30  (assume t28.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t28.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (assume t28.a9 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t28.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (assume t28.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.11/11.30  (step t28.t1 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t28.t2)
% 11.11/11.30  (assume t28.t2.a0 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t28.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t28.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t28.t2.a3 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t28.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.11/11.30  (assume t28.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.11/11.30  (assume t28.t2.a6 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.11/11.30  (assume t28.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.11/11.30  (assume t28.t2.a8 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t28.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (assume t28.t2.a10 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t28.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (step t28.t2.t1 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.11/11.30  (step t28.t2.t2 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t28.t2.a0 t28.t2.t1))
% 11.11/11.30  (step t28.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t28.t2.a0))
% 11.11/11.30  (step t28.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t28.t2.t3 t28.t2.a10))
% 11.11/11.30  (step t28.t2.t5 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t28.t2.a10))
% 11.11/11.30  (step t28.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t28.t2.a2 t28.t2.t5))
% 11.11/11.30  (step t28.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t28.t2.a9))
% 11.11/11.30  (step t28.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule symm :premises (t28.t2.t7))
% 11.11/11.30  (step t28.t2.t9 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.30  (step t28.t2.t10 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t28.t2.a6))
% 11.11/11.30  (step t28.t2.t11 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t28.t2.t10))
% 11.11/11.30  (step t28.t2.t12 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t28.t2.a8))
% 11.11/11.30  (step t28.t2.t13 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t28.t2.a7))
% 11.11/11.30  (step t28.t2.t14 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t28.t2.t13))
% 11.11/11.30  (step t28.t2.t15 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule trans :premises (t28.t2.t12 t28.t2.t14))
% 11.11/11.30  (step t28.t2.t16 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule cong :premises (t28.t2.t11 t28.t2.t15))
% 11.11/11.30  (step t28.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8))) :rule symm :premises (t28.t2.a5))
% 11.11/11.30  (step t28.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t28.t2.a4))
% 11.11/11.30  (step t28.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t28.t2.t18 t28.t2.a3))
% 11.11/11.30  (step t28.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t28.t2.a3))
% 11.11/11.30  (step t28.t2.t21 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t28.t2.a0 t28.t2.t20))
% 11.11/11.30  (step t28.t2.t22 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.30  (step t28.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t28.t2.t3 t28.t2.t22))
% 11.11/11.30  (step t28.t2.t24 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) tptp.sk_c8)) :rule trans :premises (t28.t2.t16 t28.t2.t17 t28.t2.t19 t28.t2.t21 t28.t2.t23 t28.t2.t20))
% 11.11/11.30  (step t28.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t28.t2.t9 t28.t2.t24))
% 11.11/11.30  (step t28.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t28.t2.a2))
% 11.11/11.30  (step t28.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t28.t2.a11))
% 11.11/11.30  (step t28.t2.t28 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t28.t2.t27))
% 11.11/11.30  (step t28.t2.t29 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.identity)) :rule trans :premises (t28.t2.t13 t28.t2.a8 t28.t2.a10 t28.t2.t2 t28.t2.t4 t28.t2.t6 t28.t2.t8 t28.t2.t25 t28.t2.t26))
% 11.11/11.30  (step t28.t2.t30 (cl (= (tptp.inverse tptp.sk_c6) tptp.identity)) :rule trans :premises (t28.t2.t15 t28.t2.t29))
% 11.11/11.30  (step t28.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t28.t2.t30 t28.t2.a1))
% 11.11/11.30  (step t28.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t28.t2.a1))
% 11.11/11.30  (step t28.t2.t33 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t28.t2.a0 t28.t2.t32))
% 11.11/11.30  (step t28.t2.t34 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.30  (step t28.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t28.t2.t3 t28.t2.t34))
% 11.11/11.30  (step t28.t2.t36 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule trans :premises (t28.t2.a8 t28.t2.a10 t28.t2.t2 t28.t2.t4 t28.t2.t6 t28.t2.t8 t28.t2.t25 t28.t2.t26 t28.t2.t28 t28.t2.t31 t28.t2.t33 t28.t2.t35))
% 11.11/11.30  (step t28.t2 (cl (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t28.t2.a0 t28.t2.a1 t28.t2.a2 t28.t2.a3 t28.t2.a4 t28.t2.a5 t28.t2.a6 t28.t2.a7 t28.t2.a8 t28.t2.a9 t28.t2.a10 t28.t2.a11))
% 11.11/11.30  (step t28.t3 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t28.t4 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t28.t5 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t28.t6 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t28.t7 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.11/11.30  (step t28.t8 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.11/11.30  (step t28.t9 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.11/11.30  (step t28.t10 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t28.t11 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t28.t12 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t28.t13 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t28.t14 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t28.t15 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule resolution :premises (t28.t2 t28.t3 t28.t4 t28.t5 t28.t6 t28.t7 t28.t8 t28.t9 t28.t10 t28.t11 t28.t12 t28.t13 t28.t14))
% 11.11/11.30  (step t28.t16 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t28.t15))
% 11.11/11.30  (step t28.t17 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t28.t16))
% 11.11/11.30  (step t28.t18 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t28.t1 t28.t17))
% 11.11/11.30  (step t28.t19 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t28.t20 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t28.t18 t28.t19))
% 11.11/11.30  (step t28.t21 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t28.t20))
% 11.11/11.30  (step t28.t22 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t28.t21))
% 11.11/11.30  (step t28.t23 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule and_neg)
% 11.11/11.30  (step t28.t24 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t28.t23 t28.a3 t28.a7 t28.a5 t28.a4 t28.a6 t28.a11 t28.a1 t28.a0 t28.a2 t28.a10 t28.a9 t28.a8))
% 11.11/11.30  (step t28.t25 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t28.t22 t28.t24))
% 11.11/11.30  (step t28 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t28.a0 t28.a1 t28.a2 t28.a3 t28.a4 t28.a5 t28.a6 t28.a7 t28.a8 t28.a9 t28.a10 t28.a11))
% 11.11/11.30  (step t29 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t30 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.11/11.30  (step t31 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t32 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t33 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t34 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t35 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.11/11.30  (step t36 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t37 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t38 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t39 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t40 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.11/11.30  (step t41 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))))) :rule resolution :premises (t28 t29 t30 t31 t32 t33 t34 t35 t36 t37 t38 t39 t40))
% 11.11/11.30  (step t42 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t41))
% 11.11/11.30  (step t43 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t42))
% 11.11/11.30  (step t44 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t27 t43))
% 11.11/11.30  (step t45 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t46 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t44 t45))
% 11.11/11.30  (step t47 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t46))
% 11.11/11.30  (step t48 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t47))
% 11.11/11.30  (step t49 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t26 t48))
% 11.11/11.30  (step t50 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule reordering :premises (t49))
% 11.11/11.30  (step t51 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule equiv_pos2)
% 11.11/11.30  (step t52 (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)
% 11.11/11.30  (step t53 (cl (= (= (tptp.inverse tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule all_simplify)
% 11.11/11.30  (step t54 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t52 t53))
% 11.11/11.30  (step t55 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t51 t54 a5))
% 11.11/11.30  (step t56 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule or :premises (t55))
% 11.11/11.30  (step t57 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 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_c6 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) :rule and_neg)
% 11.11/11.30  (step t58 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t59)
% 11.11/11.30  (assume t59.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t59.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t59.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)))
% 11.11/11.30  (assume t59.a3 (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.11/11.30  (assume t59.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 11.11/11.30  (assume t59.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t59.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))
% 11.11/11.30  (assume t59.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t59.a8 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t59.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t59.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t59.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.11/11.30  (assume t59.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.11/11.30  (assume t59.a13 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.11/11.30  (assume t59.a14 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))
% 11.11/11.30  (assume t59.a15 (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t59.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t59.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t59.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.11/11.30  (assume t59.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))
% 11.11/11.30  (step t59.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t59.t2)
% 11.11/11.30  (assume t59.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t59.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t59.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t59.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))
% 11.11/11.30  (assume t59.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.11/11.30  (assume t59.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.11/11.30  (assume t59.t2.a6 (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))
% 11.11/11.30  (assume t59.t2.a7 (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.11/11.30  (assume t59.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)))
% 11.11/11.30  (assume t59.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t59.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.11/11.30  (assume t59.t2.a11 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t59.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t59.t2.a13 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t59.t2.a14 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.11/11.30  (assume t59.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))
% 11.11/11.30  (assume t59.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t59.t2.a17 (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t59.t2.a18 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))
% 11.11/11.30  (assume t59.t2.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.30  (step t59.t2.t1 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t59.t2.a8))
% 11.11/11.30  (step t59.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule symm :premises (t59.t2.t1))
% 11.11/11.30  (step t59.t2.t3 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) :rule symm :premises (t59.t2.a6))
% 11.11/11.30  (step t59.t2.t4 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t59.t2.t3))
% 11.11/11.30  (step t59.t2.t5 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c4)) :rule symm :premises (t59.t2.a7))
% 11.11/11.30  (step t59.t2.t6 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t59.t2.t5))
% 11.11/11.30  (step t59.t2.t7 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t59.t2.t4 t59.t2.t6))
% 11.11/11.30  (step t59.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t59.t2.a5))
% 11.11/11.30  (step t59.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t59.t2.a4))
% 11.11/11.30  (step t59.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t59.t2.t9 t59.t2.a0))
% 11.11/11.30  (step t59.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t59.t2.a2))
% 11.11/11.30  (step t59.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t59.t2.t11 t59.t2.a0))
% 11.11/11.30  (step t59.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6))) :rule symm :premises (t59.t2.t12))
% 11.11/11.30  (step t59.t2.t14 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.30  (step t59.t2.t15 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.30  (step t59.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t59.t2.a1 t59.t2.t15))
% 11.11/11.30  (step t59.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t59.t2.a1))
% 11.11/11.30  (step t59.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t59.t2.t17 t59.t2.a13))
% 11.11/11.30  (step t59.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t59.t2.a12))
% 11.11/11.30  (step t59.t2.t20 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t59.t2.t19))
% 11.11/11.30  (step t59.t2.t21 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t59.t2.a11))
% 11.11/11.30  (step t59.t2.t22 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.11/11.30  (step t59.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule cong :premises (t59.t2.t21 t59.t2.t22))
% 11.11/11.30  (step t59.t2.t24 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule trans :premises (t59.t2.t20 t59.t2.t23))
% 11.11/11.30  (step t59.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t59.t2.a13))
% 11.11/11.30  (step t59.t2.t26 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t59.t2.t24 t59.t2.t25))
% 11.11/11.30  (step t59.t2.t27 (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 (t59.t2.a10))
% 11.11/11.30  (step t59.t2.t28 (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 (t59.t2.t27))
% 11.11/11.30  (step t59.t2.t29 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t59.t2.a9))
% 11.11/11.30  (step t59.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t59.t2.a0))
% 11.11/11.30  (step t59.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t59.t2.a1 t59.t2.t30))
% 11.11/11.30  (step t59.t2.t32 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.30  (step t59.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t59.t2.t17 t59.t2.t32))
% 11.11/11.30  (step t59.t2.t34 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c6)) :rule trans :premises (t59.t2.t29 t59.t2.t2 t59.t2.t7 t59.t2.t8 t59.t2.t10 t59.t2.t31 t59.t2.t33 t59.t2.t30))
% 11.11/11.30  (step t59.t2.t35 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) :rule cong :premises (t59.t2.t15 t59.t2.t34))
% 11.11/11.30  (step t59.t2.t36 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c6))) :rule trans :premises (t59.t2.a13 t59.t2.t16 t59.t2.t18 t59.t2.t26 t59.t2.t28 t59.t2.t35))
% 11.11/11.30  (step t59.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule cong :premises (t59.t2.t14 t59.t2.t36))
% 11.11/11.30  (step t59.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule symm :premises (t59.t2.t37))
% 11.11/11.30  (step t59.t2.t39 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.inverse tptp.identity)))) :rule refl)
% 11.11/11.30  (step t59.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.identity)) :rule symm :premises (t59.t2.a15))
% 11.11/11.30  (step t59.t2.t41 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) :rule refl)
% 11.11/11.30  (step t59.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule cong :premises (t59.t2.t40 t59.t2.t41))
% 11.11/11.30  (step t59.t2.t43 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t59.t2.t42))
% 11.11/11.30  (step t59.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule cong :premises (t59.t2.t41 t59.t2.a14))
% 11.11/11.30  (step t59.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t59.t2.t44))
% 11.11/11.30  (step t59.t2.t46 (cl (= (tptp.inverse tptp.identity) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule trans :premises (t59.t2.a14 t59.t2.t43 t59.t2.a16 t59.t2.t45))
% 11.11/11.30  (step t59.t2.t47 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule cong :premises (t59.t2.t39 t59.t2.t46))
% 11.11/11.30  (step t59.t2.t48 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule symm :premises (t59.t2.a19))
% 11.11/11.30  (step t59.t2.t49 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) tptp.identity)) :rule symm :premises (t59.t2.a18))
% 11.11/11.30  (step t59.t2.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule cong :premises (t59.t2.t49 t59.t2.t46))
% 11.11/11.30  (step t59.t2.t51 (cl (= (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule symm :premises (t59.t2.a17))
% 11.11/11.30  (step t59.t2.t52 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) :rule symm :premises (t59.t2.a14))
% 11.11/11.30  (step t59.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule cong :premises (t59.t2.t52 t59.t2.t41))
% 11.11/11.30  (step t59.t2.t54 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t59.t2.a16))
% 11.11/11.30  (step t59.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6))) :rule symm :premises (t59.t2.a3))
% 11.11/11.30  (step t59.t2.t56 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t59.t2.a2 t59.t2.t37 t59.t2.t55 t59.t2.t12 t59.t2.t31 t59.t2.t33 t59.t2.t30))
% 11.11/11.30  (step t59.t2.t57 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c6))) :rule cong :premises (t59.t2.t56))
% 11.11/11.30  (step t59.t2.t58 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule trans :premises (t59.t2.t2 t59.t2.t7 t59.t2.t8 t59.t2.t10 t59.t2.t13 t59.t2.a3 t59.t2.t38 t59.t2.t11 t59.t2.a18 t59.t2.t47 t59.t2.t48 t59.t2.t50 t59.t2.t51 t59.t2.t53 t59.t2.t44 t59.t2.t54 t59.t2.t42 t59.t2.t52 t59.t2.t57))
% 11.11/11.30  (step t59.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (not (= tptp.sk_c7 (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)))) (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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t59.t2.a0 t59.t2.a1 t59.t2.a2 t59.t2.a3 t59.t2.a4 t59.t2.a5 t59.t2.a6 t59.t2.a7 t59.t2.a8 t59.t2.a9 t59.t2.a10 t59.t2.a11 t59.t2.a12 t59.t2.a13 t59.t2.a14 t59.t2.a15 t59.t2.a16 t59.t2.a17 t59.t2.a18 t59.t2.a19))
% 11.11/11.30  (step t59.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t59.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t59.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t59.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t59.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.11/11.30  (step t59.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t59.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.11/11.30  (step t59.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t59.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule and_pos)
% 11.11/11.30  (step t59.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t59.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= (tptp.multiply (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)
% 11.11/11.30  (step t59.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t59.t15 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t59.t16 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t59.t17 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.30  (step t59.t18 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t59.t19 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t59.t20 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t59.t21 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.30  (step t59.t22 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t59.t23 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))))) :rule resolution :premises (t59.t2 t59.t3 t59.t4 t59.t5 t59.t6 t59.t7 t59.t8 t59.t9 t59.t10 t59.t11 t59.t12 t59.t13 t59.t14 t59.t15 t59.t16 t59.t17 t59.t18 t59.t19 t59.t20 t59.t21 t59.t22))
% 11.11/11.30  (step t59.t24 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t59.t23))
% 11.11/11.30  (step t59.t25 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t59.t24))
% 11.11/11.30  (step t59.t26 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t59.t1 t59.t25))
% 11.11/11.30  (step t59.t27 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t59.t28 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t59.t26 t59.t27))
% 11.11/11.30  (step t59.t29 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t59.t28))
% 11.11/11.30  (step t59.t30 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t59.t29))
% 11.11/11.30  (step t59.t31 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (not (= tptp.sk_c7 (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)))) (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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule and_neg)
% 11.11/11.30  (step t59.t32 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule resolution :premises (t59.t31 t59.a10 t59.a5 t59.a9 t59.a19 t59.a11 t59.a12 t59.a4 t59.a3 t59.a2 t59.a0 t59.a18 t59.a1 t59.a7 t59.a8 t59.a13 t59.a6 t59.a16 t59.a15 t59.a14 t59.a17))
% 11.11/11.30  (step t59.t33 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t59.t30 t59.t32))
% 11.11/11.30  (step t59 (cl (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_c6 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t59.a0 t59.a1 t59.a2 t59.a3 t59.a4 t59.a5 t59.a6 t59.a7 t59.a8 t59.a9 t59.a10 t59.a11 t59.a12 t59.a13 t59.a14 t59.a15 t59.a16 t59.a17 t59.a18 t59.a19))
% 11.11/11.30  (step t60 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t61 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t62 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule and_pos)
% 11.11/11.30  (step t63 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t64 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.11/11.30  (step t65 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t66 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t67 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t68 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t69 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t70 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t71 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.11/11.30  (step t72 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t73 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.30  (step t74 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.30  (step t75 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t76 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t77 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t78 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 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)
% 11.11/11.30  (step t79 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t80 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))))) :rule resolution :premises (t59 t60 t61 t62 t63 t64 t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76 t77 t78 t79))
% 11.11/11.30  (step t81 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t80))
% 11.11/11.30  (step t82 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t81))
% 11.11/11.30  (step t83 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t58 t82))
% 11.11/11.30  (step t84 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t85 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t83 t84))
% 11.11/11.30  (step t86 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t85))
% 11.11/11.30  (step t87 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t86))
% 11.11/11.30  (step t88 (cl (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_c6 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t57 t87))
% 11.11/11.30  (step t89 (cl (= tptp.sk_c7 (tptp.inverse 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_c6 tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (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.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) :rule reordering :premises (t88))
% 11.11/11.30  (step t90 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t91)
% 11.11/11.30  (assume t91.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.30  (step t91.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c8)) (:= Y tptp.sk_c8) (:= Z tptp.sk_c6)))
% 11.11/11.30  (step t91.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule or :premises (t91.t1))
% 11.11/11.30  (step t91.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule resolution :premises (t91.t2 t91.a0))
% 11.11/11.30  (step t91 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule subproof :discharge (t91.a0))
% 11.11/11.30  (step t92 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule resolution :premises (t90 t91))
% 11.11/11.30  (step t93 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) :rule implies_neg2)
% 11.11/11.30  (step t94 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) :rule resolution :premises (t92 t93))
% 11.11/11.30  (step t95 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6))))) :rule contraction :premises (t94))
% 11.11/11.30  (step t96 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule implies :premises (t95))
% 11.11/11.30  (step t97 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c6)))) :rule resolution :premises (t96 a2))
% 11.11/11.30  (step t98 (cl (=> (forall ((X $$unsorted) (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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t99)
% 11.11/11.30  (assume t99.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.30  (step t99.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule forall_inst :args ((:= X tptp.sk_c8) (:= Y tptp.sk_c1) (:= Z tptp.sk_c8)))
% 11.11/11.30  (step t99.t2 (cl (not (forall ((X $$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 (t99.t1))
% 11.11/11.30  (step t99.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 (t99.t2 t99.a0))
% 11.11/11.30  (step t99 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule subproof :discharge (t99.a0))
% 11.11/11.30  (step t100 (cl (=> (forall ((X $$unsorted) (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 (t98 t99))
% 11.11/11.30  (step t101 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule implies_neg2)
% 11.11/11.30  (step t102 (cl (=> (forall ((X $$unsorted) (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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))) :rule resolution :premises (t100 t101))
% 11.11/11.30  (step t103 (cl (=> (forall ((X $$unsorted) (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 (t102))
% 11.11/11.30  (step t104 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule implies :premises (t103))
% 11.11/11.30  (step t105 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t104 a2))
% 11.11/11.30  (step t106 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t107)
% 11.11/11.30  (assume t107.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.30  (step t107.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.identity))) (:= Y (tptp.inverse tptp.identity)) (:= Z (tptp.inverse tptp.identity))))
% 11.11/11.30  (step t107.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule or :premises (t107.t1))
% 11.11/11.30  (step t107.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule resolution :premises (t107.t2 t107.a0))
% 11.11/11.30  (step t107 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule subproof :discharge (t107.a0))
% 11.11/11.30  (step t108 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule resolution :premises (t106 t107))
% 11.11/11.30  (step t109 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 11.11/11.30  (step t110 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule resolution :premises (t108 t109))
% 11.11/11.30  (step t111 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule contraction :premises (t110))
% 11.11/11.30  (step t112 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule implies :premises (t111))
% 11.11/11.30  (step t113 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule resolution :premises (t112 a2))
% 11.11/11.30  (step t114 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t115)
% 11.11/11.30  (assume t115.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.30  (step t115.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.identity)) (:= Y tptp.identity) (:= Z (tptp.inverse tptp.identity))))
% 11.11/11.30  (step t115.t2 (cl (not (forall ((X $$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.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule or :premises (t115.t1))
% 11.11/11.30  (step t115.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule resolution :premises (t115.t2 t115.a0))
% 11.11/11.30  (step t115 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule subproof :discharge (t115.a0))
% 11.11/11.30  (step t116 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule resolution :premises (t114 t115))
% 11.11/11.30  (step t117 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 11.11/11.30  (step t118 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule resolution :premises (t116 t117))
% 11.11/11.30  (step t119 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule contraction :premises (t118))
% 11.11/11.30  (step t120 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule implies :premises (t119))
% 11.11/11.30  (step t121 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule resolution :premises (t120 a2))
% 11.11/11.30  (step t122 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t123)
% 11.11/11.30  (assume t123.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.30  (step t123.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y (tptp.inverse tptp.identity)) (:= Z (tptp.inverse tptp.identity))))
% 11.11/11.30  (step t123.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule or :premises (t123.t1))
% 11.11/11.30  (step t123.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule resolution :premises (t123.t2 t123.a0))
% 11.11/11.30  (step t123 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule subproof :discharge (t123.a0))
% 11.11/11.30  (step t124 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule resolution :premises (t122 t123))
% 11.11/11.30  (step t125 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 11.11/11.30  (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule resolution :premises (t124 t125))
% 11.11/11.30  (step t127 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))) :rule contraction :premises (t126))
% 11.11/11.30  (step t128 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule implies :premises (t127))
% 11.11/11.30  (step t129 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule resolution :premises (t128 a2))
% 11.11/11.30  (step t130 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t131)
% 11.11/11.30  (assume t131.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.11/11.30  (step t131.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.identity))))
% 11.11/11.30  (step t131.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule or :premises (t131.t1))
% 11.11/11.30  (step t131.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule resolution :premises (t131.t2 t131.a0))
% 11.11/11.30  (step t131 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule subproof :discharge (t131.a0))
% 11.11/11.30  (step t132 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule resolution :premises (t130 t131))
% 11.11/11.30  (step t133 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.11/11.30  (step t134 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))) :rule resolution :premises (t132 t133))
% 11.11/11.30  (step t135 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))) :rule contraction :premises (t134))
% 11.11/11.30  (step t136 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule implies :premises (t135))
% 11.11/11.30  (step t137 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 11.11/11.30  (anchor :step t138 :args ((X $$unsorted) (:= X X)))
% 11.11/11.30  (step t138.t1 (cl (= X X)) :rule refl)
% 11.11/11.30  (step t138.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 11.11/11.30  (step t138 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule bind)
% 11.11/11.30  (step t139 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t137 t138 a1))
% 11.11/11.30  (step t140 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule resolution :premises (t136 t139))
% 11.11/11.30  (step t141 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t142)
% 11.11/11.30  (assume t142.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.11/11.30  (step t142.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.identity))))
% 11.11/11.30  (step t142.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule or :premises (t142.t1))
% 11.11/11.30  (step t142.t3 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t142.t2 t142.a0))
% 11.11/11.30  (step t142 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule subproof :discharge (t142.a0))
% 11.11/11.30  (step t143 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t141 t142))
% 11.11/11.30  (step t144 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.11/11.30  (step t145 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule resolution :premises (t143 t144))
% 11.11/11.30  (step t146 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule contraction :premises (t145))
% 11.11/11.30  (step t147 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule implies :premises (t146))
% 11.11/11.30  (step t148 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 11.11/11.30  (anchor :step t149 :args ((X $$unsorted) (:= X X)))
% 11.11/11.30  (step t149.t1 (cl (= X X)) :rule refl)
% 11.11/11.30  (step t149.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 11.11/11.30  (step t149 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 11.11/11.30  (step t150 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t148 t149 a0))
% 11.11/11.30  (step t151 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t147 t150))
% 11.11/11.30  (step t152 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t153)
% 11.11/11.30  (assume t153.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.30  (step t153.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z tptp.sk_c6)))
% 11.11/11.30  (step t153.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule or :premises (t153.t1))
% 11.11/11.30  (step t153.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t153.t2 t153.a0))
% 11.11/11.30  (step t153 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule subproof :discharge (t153.a0))
% 11.11/11.30  (step t154 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t152 t153))
% 11.11/11.30  (step t155 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies_neg2)
% 11.11/11.30  (step t156 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t154 t155))
% 11.11/11.30  (step t157 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule contraction :premises (t156))
% 11.11/11.30  (step t158 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies :premises (t157))
% 11.11/11.30  (step t159 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t158 a2))
% 11.11/11.30  (step t160 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t161)
% 11.11/11.30  (assume t161.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.11/11.30  (step t161.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.11/11.30  (step t161.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t161.t1))
% 11.11/11.30  (step t161.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t161.t2 t161.a0))
% 11.11/11.30  (step t161 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t161.a0))
% 11.11/11.30  (step t162 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t160 t161))
% 11.11/11.30  (step t163 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 11.11/11.30  (step t164 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t162 t163))
% 11.11/11.30  (step t165 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t164))
% 11.11/11.30  (step t166 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t165))
% 11.11/11.30  (step t167 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t166 t139))
% 11.11/11.30  (step t168 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t169)
% 11.11/11.30  (assume t169.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.11/11.30  (step t169.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.11/11.30  (step t169.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t169.t1))
% 11.11/11.30  (step t169.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t169.t2 t169.a0))
% 11.11/11.30  (step t169 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t169.a0))
% 11.11/11.30  (step t170 (cl (=> (forall ((X $$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 (t168 t169))
% 11.11/11.30  (step t171 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t172 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t170 t171))
% 11.11/11.30  (step t173 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t172))
% 11.11/11.30  (step t174 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t173))
% 11.11/11.30  (step t175 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t174 t150))
% 11.11/11.30  (step t176 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t177)
% 11.11/11.30  (assume t177.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.11/11.30  (step t177.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.11/11.30  (step t177.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule or :premises (t177.t1))
% 11.11/11.30  (step t177.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t177.t2 t177.a0))
% 11.11/11.30  (step t177 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule subproof :discharge (t177.a0))
% 11.11/11.30  (step t178 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t176 t177))
% 11.11/11.30  (step t179 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule implies_neg2)
% 11.11/11.30  (step t180 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule resolution :premises (t178 t179))
% 11.11/11.30  (step t181 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule contraction :premises (t180))
% 11.11/11.30  (step t182 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule implies :premises (t181))
% 11.11/11.30  (step t183 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t182 t139))
% 11.11/11.30  (step t184 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t185)
% 11.11/11.30  (assume t185.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.11/11.30  (step t185.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.11/11.30  (step t185.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule or :premises (t185.t1))
% 11.11/11.30  (step t185.t3 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t185.t2 t185.a0))
% 11.11/11.30  (step t185 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule subproof :discharge (t185.a0))
% 11.11/11.30  (step t186 (cl (=> (forall ((X $$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 (t184 t185))
% 11.11/11.30  (step t187 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule implies_neg2)
% 11.11/11.30  (step t188 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule resolution :premises (t186 t187))
% 11.11/11.30  (step t189 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule contraction :premises (t188))
% 11.11/11.30  (step t190 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule implies :premises (t189))
% 11.11/11.30  (step t191 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t190 t150))
% 11.11/11.30  (step t192 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t193)
% 11.11/11.30  (assume t193.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.11/11.30  (step t193.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.11/11.30  (step t193.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t193.t1))
% 11.11/11.30  (step t193.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t193.t2 t193.a0))
% 11.11/11.30  (step t193 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t193.a0))
% 11.11/11.30  (step t194 (cl (=> (forall ((X $$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 (t192 t193))
% 11.11/11.30  (step t195 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 11.11/11.30  (step t196 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t194 t195))
% 11.11/11.30  (step t197 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t196))
% 11.11/11.30  (step t198 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t197))
% 11.11/11.30  (step t199 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t198 t139))
% 11.11/11.30  (step t200 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t201)
% 11.11/11.30  (assume t201.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.11/11.30  (step t201.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.11/11.30  (step t201.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule or :premises (t201.t1))
% 11.11/11.30  (step t201.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule resolution :premises (t201.t2 t201.a0))
% 11.11/11.30  (step t201 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule subproof :discharge (t201.a0))
% 11.11/11.30  (step t202 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule resolution :premises (t200 t201))
% 11.11/11.30  (step t203 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))) :rule implies_neg2)
% 11.11/11.30  (step t204 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))) :rule resolution :premises (t202 t203))
% 11.11/11.30  (step t205 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))) :rule contraction :premises (t204))
% 11.11/11.30  (step t206 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule implies :premises (t205))
% 11.11/11.30  (step t207 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule resolution :premises (t206 t139))
% 11.11/11.30  (step t208 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t209)
% 11.11/11.30  (assume t209.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.11/11.30  (step t209.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.11/11.30  (step t209.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t209.t1))
% 11.11/11.30  (step t209.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t209.t2 t209.a0))
% 11.11/11.30  (step t209 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t209.a0))
% 11.11/11.30  (step t210 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t208 t209))
% 11.11/11.30  (step t211 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 11.11/11.30  (step t212 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t210 t211))
% 11.11/11.30  (step t213 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t212))
% 11.11/11.30  (step t214 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t213))
% 11.11/11.30  (step t215 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t214 t150))
% 11.11/11.30  (step t216 (cl (not (= (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule equiv_pos2)
% 11.11/11.30  (step t217 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 11.11/11.30  (step t218 (cl (= (or (= (tptp.inverse tptp.sk_c3) tptp.sk_c6) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t217 t53))
% 11.11/11.30  (step t219 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t216 t218 a23))
% 11.11/11.30  (step t220 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule or :premises (t219))
% 11.11/11.30  (step t221 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t220))
% 11.11/11.30  (step t222 (cl (not (= (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c4) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c4) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule equiv_pos2)
% 11.11/11.30  (step t223 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c4) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule all_simplify)
% 11.11/11.30  (step t224 (cl (= (or (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c4) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t223 t53))
% 11.11/11.30  (step t225 (cl (or (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t222 t224 a20))
% 11.11/11.30  (step t226 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule or :premises (t225))
% 11.11/11.30  (step t227 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule reordering :premises (t226))
% 11.11/11.30  (step t228 (cl (not (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule equiv_pos2)
% 11.11/11.30  (step t229 (cl (= (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule all_simplify)
% 11.11/11.30  (step t230 (cl (= (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.sk_c7) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t229 t53))
% 11.11/11.30  (step t231 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t228 t230 a17))
% 11.11/11.30  (step t232 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule or :premises (t231))
% 11.11/11.30  (step t233 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule reordering :premises (t232))
% 11.11/11.30  (step t234 (cl (= tptp.sk_c7 (tptp.inverse 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.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t89 t97 t105 t113 t121 t129 t140 t151 t159 t167 t175 t183 t191 t199 t207 t215 t221 t227 t233))
% 11.11/11.30  (step t235 (cl (= tptp.sk_c7 (tptp.inverse 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 (t234))
% 11.11/11.30  (step t236 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule and_neg)
% 11.11/11.30  (step t237 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t238)
% 11.11/11.30  (assume t238.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t238.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t238.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t238.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t238.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))
% 11.11/11.30  (assume t238.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t238.a6 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t238.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t238.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t238.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (assume t238.a10 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t238.a11 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.11/11.30  (assume t238.a12 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))
% 11.11/11.30  (assume t238.a13 (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t238.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t238.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t238.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.11/11.30  (assume t238.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (step t238.t1 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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)
% 11.11/11.30  (anchor :step t238.t2)
% 11.11/11.30  (assume t238.t2.a0 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.11/11.30  (assume t238.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))
% 11.11/11.30  (assume t238.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t238.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t238.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))
% 11.11/11.30  (assume t238.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.30  (assume t238.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (assume t238.t2.a7 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t238.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t238.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t238.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (assume t238.t2.a11 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t238.t2.a12 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t238.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.11/11.30  (assume t238.t2.a14 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t238.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t238.t2.a16 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t238.t2.a17 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (step t238.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.30  (step t238.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t238.t2.a8 t238.t2.t1))
% 11.11/11.30  (step t238.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t238.t2.a8))
% 11.11/11.30  (step t238.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t238.t2.t3 t238.t2.a17))
% 11.11/11.30  (step t238.t2.t5 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.30  (step t238.t2.t6 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.30  (step t238.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t238.t2.a8 t238.t2.t6))
% 11.11/11.30  (step t238.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t238.t2.t3 t238.t2.a16))
% 11.11/11.30  (step t238.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t238.t2.a15))
% 11.11/11.30  (step t238.t2.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t238.t2.t9))
% 11.11/11.30  (step t238.t2.t11 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t238.t2.a14))
% 11.11/11.30  (step t238.t2.t12 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.11/11.30  (step t238.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule cong :premises (t238.t2.t11 t238.t2.t12))
% 11.11/11.30  (step t238.t2.t14 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule trans :premises (t238.t2.t10 t238.t2.t13))
% 11.11/11.30  (step t238.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t238.t2.a16))
% 11.11/11.30  (step t238.t2.t16 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t238.t2.t14 t238.t2.t15))
% 11.11/11.30  (step t238.t2.t17 (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 (t238.t2.a13))
% 11.11/11.30  (step t238.t2.t18 (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 (t238.t2.t17))
% 11.11/11.30  (step t238.t2.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t238.t2.a12))
% 11.11/11.30  (step t238.t2.t20 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t238.t2.a11))
% 11.11/11.30  (step t238.t2.t21 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule symm :premises (t238.t2.t20))
% 11.11/11.30  (step t238.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) (tptp.inverse tptp.sk_c6))) :rule trans :premises (t238.t2.t19 t238.t2.t21))
% 11.11/11.30  (step t238.t2.t23 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t238.t2.t6 t238.t2.t22))
% 11.11/11.30  (step t238.t2.t24 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule trans :premises (t238.t2.a16 t238.t2.t7 t238.t2.t8 t238.t2.t16 t238.t2.t18 t238.t2.t23))
% 11.11/11.30  (step t238.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t238.t2.t5 t238.t2.t24))
% 11.11/11.30  (step t238.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t238.t2.a10))
% 11.11/11.30  (step t238.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t238.t2.a9))
% 11.11/11.30  (step t238.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t238.t2.t27 t238.t2.a7))
% 11.11/11.30  (step t238.t2.t29 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t238.t2.a7))
% 11.11/11.30  (step t238.t2.t30 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t238.t2.a8 t238.t2.t29))
% 11.11/11.30  (step t238.t2.t31 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.11/11.30  (step t238.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t238.t2.t3 t238.t2.t31))
% 11.11/11.30  (step t238.t2.t33 (cl (= tptp.identity (tptp.inverse tptp.sk_c6))) :rule trans :premises (t238.t2.a9 t238.t2.t25 t238.t2.t26 t238.t2.t28 t238.t2.t30 t238.t2.t32 t238.t2.t29))
% 11.11/11.30  (step t238.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t238.t2.a17))
% 11.11/11.30  (step t238.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t238.t2.t33 t238.t2.t34))
% 11.11/11.30  (step t238.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t238.t2.a6))
% 11.11/11.30  (step t238.t2.t37 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.inverse tptp.identity)))) :rule refl)
% 11.11/11.30  (step t238.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.identity)) :rule symm :premises (t238.t2.a1))
% 11.11/11.30  (step t238.t2.t39 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) :rule refl)
% 11.11/11.30  (step t238.t2.t40 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule cong :premises (t238.t2.t38 t238.t2.t39))
% 11.11/11.30  (step t238.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t238.t2.t40))
% 11.11/11.30  (step t238.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule cong :premises (t238.t2.t39 t238.t2.a0))
% 11.11/11.30  (step t238.t2.t43 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t238.t2.t42))
% 11.11/11.30  (step t238.t2.t44 (cl (= (tptp.inverse tptp.identity) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule trans :premises (t238.t2.a0 t238.t2.t41 t238.t2.a2 t238.t2.t43))
% 11.11/11.30  (step t238.t2.t45 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule cong :premises (t238.t2.t37 t238.t2.t44))
% 11.11/11.30  (step t238.t2.t46 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule symm :premises (t238.t2.a5))
% 11.11/11.30  (step t238.t2.t47 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) tptp.identity)) :rule symm :premises (t238.t2.a4))
% 11.11/11.30  (step t238.t2.t48 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule cong :premises (t238.t2.t47 t238.t2.t44))
% 11.11/11.30  (step t238.t2.t49 (cl (= (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule symm :premises (t238.t2.a3))
% 11.11/11.30  (step t238.t2.t50 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) :rule symm :premises (t238.t2.a0))
% 11.11/11.30  (step t238.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule cong :premises (t238.t2.t50 t238.t2.t39))
% 11.11/11.30  (step t238.t2.t52 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t238.t2.a2))
% 11.11/11.30  (step t238.t2.t53 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule trans :premises (t238.t2.a17 t238.t2.t2 t238.t2.t4 t238.t2.t35 t238.t2.t36 t238.t2.a4 t238.t2.t45 t238.t2.t46 t238.t2.t48 t238.t2.t49 t238.t2.t51 t238.t2.t42 t238.t2.t52 t238.t2.t40 t238.t2.t50))
% 11.11/11.30  (step t238.t2 (cl (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (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)))) (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.inverse tptp.identity))) :rule subproof :discharge (t238.t2.a0 t238.t2.a1 t238.t2.a2 t238.t2.a3 t238.t2.a4 t238.t2.a5 t238.t2.a6 t238.t2.a7 t238.t2.a8 t238.t2.a9 t238.t2.a10 t238.t2.a11 t238.t2.a12 t238.t2.a13 t238.t2.a14 t238.t2.a15 t238.t2.a16 t238.t2.a17))
% 11.11/11.30  (step t238.t3 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.30  (step t238.t4 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity) tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t238.t5 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t238.t6 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t238.t7 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.30  (step t238.t8 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t238.t9 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t238.t10 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t238.t11 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t238.t12 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t238.t13 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t238.t14 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t238.t15 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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)
% 11.11/11.30  (step t238.t16 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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)
% 11.11/11.30  (step t238.t17 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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)
% 11.11/11.30  (step t238.t18 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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)
% 11.11/11.30  (step t238.t19 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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)
% 11.11/11.30  (step t238.t20 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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)
% 11.11/11.30  (step t238.t21 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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 (t238.t2 t238.t3 t238.t4 t238.t5 t238.t6 t238.t7 t238.t8 t238.t9 t238.t10 t238.t11 t238.t12 t238.t13 t238.t14 t238.t15 t238.t16 t238.t17 t238.t18 t238.t19 t238.t20))
% 11.11/11.30  (step t238.t22 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity))) :rule reordering :premises (t238.t21))
% 11.11/11.30  (step t238.t23 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity))) :rule contraction :premises (t238.t22))
% 11.11/11.30  (step t238.t24 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t238.t1 t238.t23))
% 11.11/11.30  (step t238.t25 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.11/11.30  (step t238.t26 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity))) (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity)))) :rule resolution :premises (t238.t24 t238.t25))
% 11.11/11.30  (step t238.t27 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity)))) :rule contraction :premises (t238.t26))
% 11.11/11.30  (step t238.t28 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity))) :rule implies :premises (t238.t27))
% 11.11/11.30  (step t238.t29 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (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)))) (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)
% 11.11/11.30  (step t238.t30 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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 (t238.t29 t238.a11 t238.a4 t238.a14 t238.a13 t238.a12 t238.a15 t238.a9 t238.a10 t238.a3 t238.a7 t238.a17 t238.a1 t238.a0 t238.a16 t238.a2 t238.a5 t238.a6 t238.a8))
% 11.11/11.30  (step t238.t31 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t238.t28 t238.t30))
% 11.11/11.30  (step t238 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule subproof :discharge (t238.a0 t238.a1 t238.a2 t238.a3 t238.a4 t238.a5 t238.a6 t238.a7 t238.a8 t238.a9 t238.a10 t238.a11 t238.a12 t238.a13 t238.a14 t238.a15 t238.a16 t238.a17))
% 11.11/11.30  (step t239 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t240 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t241 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t242 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t243 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t244 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t245 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t246 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t247 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t248 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t249 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t250 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.30  (step t251 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.30  (step t252 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t253 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t254 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.30  (step t255 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse 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)
% 11.11/11.30  (step t256 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t257 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))))) :rule resolution :premises (t238 t239 t240 t241 t242 t243 t244 t245 t246 t247 t248 t249 t250 t251 t252 t253 t254 t255 t256))
% 11.11/11.30  (step t258 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t257))
% 11.11/11.30  (step t259 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t258))
% 11.11/11.30  (step t260 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t237 t259))
% 11.11/11.30  (step t261 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.11/11.30  (step t262 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t260 t261))
% 11.11/11.30  (step t263 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t262))
% 11.11/11.30  (step t264 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t263))
% 11.11/11.30  (step t265 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t236 t264))
% 11.11/11.30  (step t266 (cl (not (= tptp.sk_c7 (tptp.inverse 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.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (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.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t265))
% 11.11/11.30  (step t267 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t268)
% 11.11/11.30  (assume t268.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.30  (step t268.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c8)) (:= Y tptp.sk_c8) (:= Z (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (step t268.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule or :premises (t268.t1))
% 11.11/11.30  (step t268.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t268.t2 t268.a0))
% 11.11/11.30  (step t268 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule subproof :discharge (t268.a0))
% 11.11/11.30  (step t269 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t267 t268))
% 11.11/11.30  (step t270 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule implies_neg2)
% 11.11/11.30  (step t271 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule resolution :premises (t269 t270))
% 11.11/11.30  (step t272 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule contraction :premises (t271))
% 11.11/11.30  (step t273 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule implies :premises (t272))
% 11.11/11.30  (step t274 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t273 a2))
% 11.11/11.30  (step t275 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t276)
% 11.11/11.30  (assume t276.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.11/11.30  (step t276.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (step t276.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule or :premises (t276.t1))
% 11.11/11.30  (step t276.t3 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t276.t2 t276.a0))
% 11.11/11.30  (step t276 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule subproof :discharge (t276.a0))
% 11.11/11.30  (step t277 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t275 t276))
% 11.11/11.30  (step t278 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule implies_neg2)
% 11.11/11.30  (step t279 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t277 t278))
% 11.11/11.30  (step t280 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule contraction :premises (t279))
% 11.11/11.30  (step t281 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule implies :premises (t280))
% 11.11/11.30  (step t282 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t281 t150))
% 11.11/11.30  (step t283 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t284)
% 11.11/11.30  (assume t284.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.11/11.30  (step t284.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.11/11.30  (step t284.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule or :premises (t284.t1))
% 11.11/11.30  (step t284.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t284.t2 t284.a0))
% 11.11/11.30  (step t284 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule subproof :discharge (t284.a0))
% 11.11/11.30  (step t285 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t283 t284))
% 11.11/11.30  (step t286 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t287 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t285 t286))
% 11.11/11.30  (step t288 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule contraction :premises (t287))
% 11.11/11.30  (step t289 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule implies :premises (t288))
% 11.11/11.30  (step t290 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t289 t139))
% 11.11/11.30  (step t291 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule and_neg)
% 11.11/11.30  (step t292 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t293)
% 11.11/11.30  (assume t293.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t293.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t293.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t293.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t293.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t293.a5 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t293.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t293.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t293.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (assume t293.a9 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t293.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.11/11.30  (assume t293.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (step t293.t1 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t293.t2)
% 11.11/11.30  (assume t293.t2.a0 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t293.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t293.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t293.t2.a3 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t293.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t293.t2.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t293.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))))
% 11.11/11.30  (assume t293.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t293.t2.a8 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t293.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (assume t293.t2.a10 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t293.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (step t293.t2.t1 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t293.t2.a8))
% 11.11/11.30  (step t293.t2.t2 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule symm :premises (t293.t2.t1))
% 11.11/11.30  (step t293.t2.t3 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.11/11.30  (step t293.t2.t4 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t293.t2.a0 t293.t2.t3))
% 11.11/11.30  (step t293.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t293.t2.a0))
% 11.11/11.30  (step t293.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t293.t2.t5 t293.t2.a10))
% 11.11/11.30  (step t293.t2.t7 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t293.t2.a10))
% 11.11/11.30  (step t293.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t293.t2.a2 t293.t2.t7))
% 11.11/11.30  (step t293.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t293.t2.a9))
% 11.11/11.30  (step t293.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule symm :premises (t293.t2.t9))
% 11.11/11.30  (step t293.t2.t11 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.30  (step t293.t2.t12 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.30  (step t293.t2.t13 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t293.t2.t2))
% 11.11/11.30  (step t293.t2.t14 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t293.t2.a7))
% 11.11/11.30  (step t293.t2.t15 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule symm :premises (t293.t2.t14))
% 11.11/11.30  (step t293.t2.t16 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule trans :premises (t293.t2.t13 t293.t2.t15))
% 11.11/11.30  (step t293.t2.t17 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule cong :premises (t293.t2.t12 t293.t2.t16))
% 11.11/11.30  (step t293.t2.t18 (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 (t293.t2.a6))
% 11.11/11.30  (step t293.t2.t19 (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 (t293.t2.t18))
% 11.11/11.30  (step t293.t2.t20 (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 (t293.t2.t19))
% 11.11/11.30  (step t293.t2.t21 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t293.t2.a5))
% 11.11/11.30  (step t293.t2.t22 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t293.t2.t21))
% 11.11/11.30  (step t293.t2.t23 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.11/11.30  (step t293.t2.t24 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t293.t2.t22 t293.t2.t23))
% 11.11/11.30  (step t293.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t293.t2.a4))
% 11.11/11.30  (step t293.t2.t26 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t293.t2.t25))
% 11.11/11.30  (step t293.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t293.t2.t26))
% 11.11/11.30  (step t293.t2.t28 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.identity)) :rule trans :premises (t293.t2.t24 t293.t2.t27))
% 11.11/11.30  (step t293.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t293.t2.t28 t293.t2.a3))
% 11.11/11.30  (step t293.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t293.t2.a3))
% 11.11/11.30  (step t293.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t293.t2.a0 t293.t2.t30))
% 11.11/11.30  (step t293.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t293.t2.t5 t293.t2.t12))
% 11.11/11.30  (step t293.t2.t33 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) tptp.sk_c8)) :rule trans :premises (t293.t2.t17 t293.t2.t20 t293.t2.t29 t293.t2.t31 t293.t2.t32 t293.t2.t30))
% 11.11/11.30  (step t293.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t293.t2.t11 t293.t2.t33))
% 11.11/11.30  (step t293.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t293.t2.a2))
% 11.11/11.30  (step t293.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t293.t2.a11))
% 11.11/11.30  (step t293.t2.t37 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t293.t2.t36))
% 11.11/11.30  (step t293.t2.t38 (cl (= (tptp.inverse tptp.sk_c6) tptp.identity)) :rule trans :premises (t293.t2.a10 t293.t2.t4 t293.t2.t6 t293.t2.t8 t293.t2.t10 t293.t2.t34 t293.t2.t35))
% 11.11/11.30  (step t293.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t293.t2.t38 t293.t2.a1))
% 11.11/11.30  (step t293.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t293.t2.a1))
% 11.11/11.30  (step t293.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t293.t2.a0 t293.t2.t40))
% 11.11/11.30  (step t293.t2.t42 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.30  (step t293.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t293.t2.t5 t293.t2.t42))
% 11.11/11.30  (step t293.t2.t44 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule trans :premises (t293.t2.t2 t293.t2.a10 t293.t2.t4 t293.t2.t6 t293.t2.t8 t293.t2.t10 t293.t2.t34 t293.t2.t35 t293.t2.t37 t293.t2.t39 t293.t2.t41 t293.t2.t43))
% 11.11/11.30  (step t293.t2 (cl (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t293.t2.a0 t293.t2.a1 t293.t2.a2 t293.t2.a3 t293.t2.a4 t293.t2.a5 t293.t2.a6 t293.t2.a7 t293.t2.a8 t293.t2.a9 t293.t2.a10 t293.t2.a11))
% 11.11/11.30  (step t293.t3 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t293.t4 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t293.t5 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t293.t6 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t293.t7 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t293.t8 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t293.t9 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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)
% 11.11/11.30  (step t293.t10 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t293.t11 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t293.t12 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t293.t13 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t293.t14 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t293.t15 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule resolution :premises (t293.t2 t293.t3 t293.t4 t293.t5 t293.t6 t293.t7 t293.t8 t293.t9 t293.t10 t293.t11 t293.t12 t293.t13 t293.t14))
% 11.11/11.30  (step t293.t16 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t293.t15))
% 11.11/11.30  (step t293.t17 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t293.t16))
% 11.11/11.30  (step t293.t18 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t293.t1 t293.t17))
% 11.11/11.30  (step t293.t19 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t293.t20 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t293.t18 t293.t19))
% 11.11/11.30  (step t293.t21 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t293.t20))
% 11.11/11.30  (step t293.t22 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t293.t21))
% 11.11/11.30  (step t293.t23 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule and_neg)
% 11.11/11.30  (step t293.t24 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t293.t23 t293.a3 t293.a7 t293.a6 t293.a5 t293.a4 t293.a2 t293.a10 t293.a0 t293.a1 t293.a11 t293.a9 t293.a8))
% 11.11/11.30  (step t293.t25 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t293.t22 t293.t24))
% 11.11/11.30  (step t293 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t293.a0 t293.a1 t293.a2 t293.a3 t293.a4 t293.a5 t293.a6 t293.a7 t293.a8 t293.a9 t293.a10 t293.a11))
% 11.11/11.30  (step t294 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t295 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t296 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t297 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t298 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t299 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t300 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t301 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t302 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t303 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t304 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse 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)
% 11.11/11.30  (step t305 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t306 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))))) :rule resolution :premises (t293 t294 t295 t296 t297 t298 t299 t300 t301 t302 t303 t304 t305))
% 11.11/11.30  (step t307 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t306))
% 11.11/11.30  (step t308 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t307))
% 11.11/11.30  (step t309 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t292 t308))
% 11.11/11.30  (step t310 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t311 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t309 t310))
% 11.11/11.30  (step t312 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t311))
% 11.11/11.30  (step t313 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t312))
% 11.11/11.30  (step t314 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t291 t313))
% 11.11/11.30  (step t315 (cl (not (= tptp.sk_c7 (tptp.inverse 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.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t314))
% 11.11/11.30  (step t316 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5)))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t317)
% 11.11/11.30  (assume t317.a0 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))))
% 11.11/11.30  (step t317.t1 (cl (or (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule forall_inst :args ((:= X5 tptp.sk_c6)))
% 11.11/11.30  (step t317.t2 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule or :premises (t317.t1))
% 11.11/11.30  (step t317.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t317.t2 t317.a0))
% 11.11/11.30  (step t317 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule subproof :discharge (t317.a0))
% 11.11/11.30  (step t318 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t316 t317))
% 11.11/11.30  (step t319 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule implies_neg2)
% 11.11/11.30  (step t320 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule resolution :premises (t318 t319))
% 11.11/11.30  (step t321 (cl (=> (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule contraction :premises (t320))
% 11.11/11.30  (step t322 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule implies :premises (t321))
% 11.11/11.30  (step t323 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule or_pos)
% 11.11/11.30  (step t324 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule reordering :premises (t323))
% 11.11/11.30  (step t325 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t326)
% 11.11/11.30  (assume t326.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t326.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t326.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t326.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t326.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t326.a5 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t326.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t326.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t326.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (assume t326.a9 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t326.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.11/11.30  (assume t326.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (step t326.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t326.t2)
% 11.11/11.30  (assume t326.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t326.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t326.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t326.t2.a3 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t326.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t326.t2.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t326.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))))
% 11.11/11.30  (assume t326.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t326.t2.a8 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t326.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (assume t326.t2.a10 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t326.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (step t326.t2.t1 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t326.t2.a8))
% 11.11/11.30  (step t326.t2.t2 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule symm :premises (t326.t2.t1))
% 11.11/11.30  (step t326.t2.t3 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.11/11.30  (step t326.t2.t4 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t326.t2.a1 t326.t2.t3))
% 11.11/11.30  (step t326.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t326.t2.a1))
% 11.11/11.30  (step t326.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t326.t2.t5 t326.t2.a10))
% 11.11/11.30  (step t326.t2.t7 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t326.t2.a10))
% 11.11/11.30  (step t326.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t326.t2.a2 t326.t2.t7))
% 11.11/11.30  (step t326.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t326.t2.a9))
% 11.11/11.30  (step t326.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule symm :premises (t326.t2.t9))
% 11.11/11.30  (step t326.t2.t11 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.30  (step t326.t2.t12 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.30  (step t326.t2.t13 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t326.t2.t2))
% 11.11/11.30  (step t326.t2.t14 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t326.t2.a7))
% 11.11/11.30  (step t326.t2.t15 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule symm :premises (t326.t2.t14))
% 11.11/11.30  (step t326.t2.t16 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule trans :premises (t326.t2.t13 t326.t2.t15))
% 11.11/11.30  (step t326.t2.t17 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule cong :premises (t326.t2.t12 t326.t2.t16))
% 11.11/11.30  (step t326.t2.t18 (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 (t326.t2.a6))
% 11.11/11.30  (step t326.t2.t19 (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 (t326.t2.t18))
% 11.11/11.30  (step t326.t2.t20 (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 (t326.t2.t19))
% 11.11/11.30  (step t326.t2.t21 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t326.t2.a5))
% 11.11/11.30  (step t326.t2.t22 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t326.t2.t21))
% 11.11/11.30  (step t326.t2.t23 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.11/11.30  (step t326.t2.t24 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t326.t2.t22 t326.t2.t23))
% 11.11/11.30  (step t326.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t326.t2.a4))
% 11.11/11.30  (step t326.t2.t26 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t326.t2.t25))
% 11.11/11.30  (step t326.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t326.t2.t26))
% 11.11/11.30  (step t326.t2.t28 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.identity)) :rule trans :premises (t326.t2.t24 t326.t2.t27))
% 11.11/11.30  (step t326.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t326.t2.t28 t326.t2.a3))
% 11.11/11.30  (step t326.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t326.t2.a3))
% 11.11/11.30  (step t326.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t326.t2.a1 t326.t2.t30))
% 11.11/11.30  (step t326.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t326.t2.t5 t326.t2.t12))
% 11.11/11.30  (step t326.t2.t33 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) tptp.sk_c8)) :rule trans :premises (t326.t2.t17 t326.t2.t20 t326.t2.t29 t326.t2.t31 t326.t2.t32 t326.t2.t30))
% 11.11/11.30  (step t326.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t326.t2.t11 t326.t2.t33))
% 11.11/11.30  (step t326.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t326.t2.a2))
% 11.11/11.30  (step t326.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t326.t2.a11))
% 11.11/11.30  (step t326.t2.t37 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t326.t2.t36))
% 11.11/11.30  (step t326.t2.t38 (cl (= (tptp.inverse tptp.sk_c6) tptp.identity)) :rule trans :premises (t326.t2.a10 t326.t2.t4 t326.t2.t6 t326.t2.t8 t326.t2.t10 t326.t2.t34 t326.t2.t35))
% 11.11/11.30  (step t326.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t326.t2.t38 t326.t2.a0))
% 11.11/11.30  (step t326.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t326.t2.a0))
% 11.11/11.30  (step t326.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t326.t2.a1 t326.t2.t40))
% 11.11/11.30  (step t326.t2.t42 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.30  (step t326.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t326.t2.t5 t326.t2.t42))
% 11.11/11.30  (step t326.t2.t44 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t326.t2.t37 t326.t2.t39 t326.t2.t41 t326.t2.t43 t326.t2.t40))
% 11.11/11.30  (step t326.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t326.t2.t44 t326.t2.t44))
% 11.11/11.30  (step t326.t2.t46 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t326.t2.a1 t326.t2.t45))
% 11.11/11.30  (step t326.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t326.t2.t44 t326.t2.t46))
% 11.11/11.30  (step t326.t2.t48 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule trans :premises (t326.t2.t2 t326.t2.a10 t326.t2.t4 t326.t2.t6 t326.t2.t8 t326.t2.t10 t326.t2.t34 t326.t2.t35 t326.t2.a1 t326.t2.t47))
% 11.11/11.30  (step t326.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule subproof :discharge (t326.t2.a0 t326.t2.a1 t326.t2.a2 t326.t2.a3 t326.t2.a4 t326.t2.a5 t326.t2.a6 t326.t2.a7 t326.t2.a8 t326.t2.a9 t326.t2.a10 t326.t2.a11))
% 11.11/11.30  (step t326.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t326.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t326.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t326.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t326.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t326.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t326.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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)
% 11.11/11.30  (step t326.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t326.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t326.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t326.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t326.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t326.t15 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule resolution :premises (t326.t2 t326.t3 t326.t4 t326.t5 t326.t6 t326.t7 t326.t8 t326.t9 t326.t10 t326.t11 t326.t12 t326.t13 t326.t14))
% 11.11/11.30  (step t326.t16 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule reordering :premises (t326.t15))
% 11.11/11.30  (step t326.t17 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t326.t16))
% 11.11/11.30  (step t326.t18 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t326.t1 t326.t17))
% 11.11/11.30  (step t326.t19 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg2)
% 11.11/11.30  (step t326.t20 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t326.t18 t326.t19))
% 11.11/11.30  (step t326.t21 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t326.t20))
% 11.11/11.30  (step t326.t22 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies :premises (t326.t21))
% 11.11/11.30  (step t326.t23 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule and_neg)
% 11.11/11.30  (step t326.t24 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t326.t23 t326.a7 t326.a3 t326.a6 t326.a5 t326.a4 t326.a2 t326.a10 t326.a0 t326.a1 t326.a11 t326.a9 t326.a8))
% 11.11/11.30  (step t326.t25 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t326.t22 t326.t24))
% 11.11/11.30  (step t326 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule subproof :discharge (t326.a0 t326.a1 t326.a2 t326.a3 t326.a4 t326.a5 t326.a6 t326.a7 t326.a8 t326.a9 t326.a10 t326.a11))
% 11.11/11.30  (step t327 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t328 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t329 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t330 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t331 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t332 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t333 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t334 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t335 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t336 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t337 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse 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)
% 11.11/11.30  (step t338 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t339 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))))) :rule resolution :premises (t326 t327 t328 t329 t330 t331 t332 t333 t334 t335 t336 t337 t338))
% 11.11/11.30  (step t340 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule reordering :premises (t339))
% 11.11/11.30  (step t341 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t340))
% 11.11/11.30  (step t342 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t325 t341))
% 11.11/11.30  (step t343 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg2)
% 11.11/11.30  (step t344 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t342 t343))
% 11.11/11.30  (step t345 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t344))
% 11.11/11.30  (step t346 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies :premises (t345))
% 11.11/11.30  (step t347 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t291 t346))
% 11.11/11.30  (step t348 (cl (not (= tptp.sk_c7 (tptp.inverse 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.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule reordering :premises (t347))
% 11.11/11.30  (step t349 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t350)
% 11.11/11.30  (assume t350.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t350.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t350.a2 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t350.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t350.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t350.a5 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t350.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t350.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t350.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (assume t350.a9 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t350.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8))))
% 11.11/11.30  (assume t350.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (step t350.t1 (cl (=> (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t350.t2)
% 11.11/11.30  (assume t350.t2.a0 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t350.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t350.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t350.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (assume t350.t2.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t350.t2.a5 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))
% 11.11/11.30  (assume t350.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))))
% 11.11/11.30  (assume t350.t2.a7 (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))
% 11.11/11.30  (assume t350.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.11/11.30  (assume t350.t2.a9 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t350.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (assume t350.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (step t350.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.30  (step t350.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t350.t2.a1 t350.t2.t1))
% 11.11/11.30  (step t350.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t350.t2.a1))
% 11.11/11.30  (step t350.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t350.t2.t3 t350.t2.a11))
% 11.11/11.30  (step t350.t2.t5 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.30  (step t350.t2.t6 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.30  (step t350.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t350.t2.a1 t350.t2.t6))
% 11.11/11.30  (step t350.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t350.t2.t3 t350.t2.a9))
% 11.11/11.30  (step t350.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t350.t2.a8))
% 11.11/11.30  (step t350.t2.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t350.t2.t9))
% 11.11/11.30  (step t350.t2.t11 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t350.t2.a7))
% 11.11/11.30  (step t350.t2.t12 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t350.t2.t11))
% 11.11/11.30  (step t350.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c8)) :rule symm :premises (t350.t2.t12))
% 11.11/11.30  (step t350.t2.t14 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.11/11.30  (step t350.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule cong :premises (t350.t2.t13 t350.t2.t14))
% 11.11/11.30  (step t350.t2.t16 (cl (= tptp.identity (tptp.multiply tptp.sk_c8 tptp.sk_c1))) :rule trans :premises (t350.t2.t10 t350.t2.t15))
% 11.11/11.30  (step t350.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t350.t2.a9))
% 11.11/11.30  (step t350.t2.t18 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c1) tptp.sk_c8))) :rule cong :premises (t350.t2.t16 t350.t2.t17))
% 11.11/11.30  (step t350.t2.t19 (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 (t350.t2.a6))
% 11.11/11.30  (step t350.t2.t20 (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 (t350.t2.t19))
% 11.11/11.30  (step t350.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t350.t2.a5))
% 11.11/11.30  (step t350.t2.t22 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule symm :premises (t350.t2.t21))
% 11.11/11.30  (step t350.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t350.t2.t22))
% 11.11/11.30  (step t350.t2.t24 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t350.t2.a4))
% 11.11/11.30  (step t350.t2.t25 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule symm :premises (t350.t2.t24))
% 11.11/11.30  (step t350.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) (tptp.inverse tptp.sk_c6))) :rule trans :premises (t350.t2.t23 t350.t2.t25))
% 11.11/11.30  (step t350.t2.t27 (cl (= (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t350.t2.t6 t350.t2.t26))
% 11.11/11.30  (step t350.t2.t28 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule trans :premises (t350.t2.a9 t350.t2.t7 t350.t2.t8 t350.t2.t18 t350.t2.t20 t350.t2.t27))
% 11.11/11.30  (step t350.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t350.t2.t5 t350.t2.t28))
% 11.11/11.30  (step t350.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t350.t2.a3))
% 11.11/11.30  (step t350.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule symm :premises (t350.t2.t30))
% 11.11/11.30  (step t350.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t350.t2.t31))
% 11.11/11.30  (step t350.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t350.t2.a2))
% 11.11/11.30  (step t350.t2.t34 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t350.t2.t33 t350.t2.a0))
% 11.11/11.30  (step t350.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t350.t2.a0))
% 11.11/11.30  (step t350.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t350.t2.a1 t350.t2.t35))
% 11.11/11.30  (step t350.t2.t37 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.11/11.30  (step t350.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t350.t2.t3 t350.t2.t37))
% 11.11/11.30  (step t350.t2.t39 (cl (= tptp.identity (tptp.inverse tptp.sk_c6))) :rule trans :premises (t350.t2.a2 t350.t2.t29 t350.t2.t32 t350.t2.t34 t350.t2.t36 t350.t2.t38 t350.t2.t35))
% 11.11/11.30  (step t350.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t350.t2.a11))
% 11.11/11.30  (step t350.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t350.t2.t39 t350.t2.t40))
% 11.11/11.30  (step t350.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t350.t2.a10))
% 11.11/11.30  (step t350.t2.t43 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t350.t2.t42))
% 11.11/11.30  (step t350.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t350.t2.t43))
% 11.11/11.30  (step t350.t2.t45 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule trans :premises (t350.t2.a11 t350.t2.t2 t350.t2.t4 t350.t2.t41 t350.t2.t44 t350.t2.a2 t350.t2.t29 t350.t2.t32 t350.t2.t34 t350.t2.t36 t350.t2.t38 t350.t2.t35))
% 11.11/11.30  (step t350.t2 (cl (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (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)))) (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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t350.t2.a0 t350.t2.a1 t350.t2.a2 t350.t2.a3 t350.t2.a4 t350.t2.a5 t350.t2.a6 t350.t2.a7 t350.t2.a8 t350.t2.a9 t350.t2.a10 t350.t2.a11))
% 11.11/11.30  (step t350.t3 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t350.t4 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t350.t5 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t350.t6 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t350.t7 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t350.t8 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t350.t9 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= 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)
% 11.11/11.30  (step t350.t10 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t350.t11 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= 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)
% 11.11/11.30  (step t350.t12 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t350.t13 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t350.t14 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t350.t15 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t350.t2 t350.t3 t350.t4 t350.t5 t350.t6 t350.t7 t350.t8 t350.t9 t350.t10 t350.t11 t350.t12 t350.t13 t350.t14))
% 11.11/11.30  (step t350.t16 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t350.t15))
% 11.11/11.30  (step t350.t17 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t350.t16))
% 11.11/11.30  (step t350.t18 (cl (=> (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t350.t1 t350.t17))
% 11.11/11.30  (step t350.t19 (cl (=> (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t350.t20 (cl (=> (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (=> (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t350.t18 t350.t19))
% 11.11/11.30  (step t350.t21 (cl (=> (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t350.t20))
% 11.11/11.30  (step t350.t22 (cl (not (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t350.t21))
% 11.11/11.30  (step t350.t23 (cl (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (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)))) (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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 11.11/11.30  (step t350.t24 (cl (and (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (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))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t350.t23 t350.a9 t350.a3 t350.a6 t350.a11 t350.a1 t350.a0 t350.a10 t350.a2 t350.a4 t350.a5 t350.a8 t350.a7))
% 11.11/11.30  (step t350.t25 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t350.t22 t350.t24))
% 11.11/11.30  (step t350 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t350.a0 t350.a1 t350.a2 t350.a3 t350.a4 t350.a5 t350.a6 t350.a7 t350.a8 t350.a9 t350.a10 t350.a11))
% 11.11/11.30  (step t351 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t352 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t353 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t354 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t355 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.11/11.30  (step t356 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t357 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t358 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t359 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t360 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.30  (step t361 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse 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)
% 11.11/11.30  (step t362 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.30  (step t363 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))))) :rule resolution :premises (t350 t351 t352 t353 t354 t355 t356 t357 t358 t359 t360 t361 t362))
% 11.11/11.30  (step t364 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t363))
% 11.11/11.30  (step t365 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t364))
% 11.11/11.30  (step t366 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t349 t365))
% 11.11/11.30  (step t367 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.30  (step t368 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t366 t367))
% 11.11/11.30  (step t369 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t368))
% 11.11/11.30  (step t370 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t369))
% 11.11/11.30  (step t371 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t291 t370))
% 11.11/11.30  (step t372 (cl (not (= tptp.sk_c7 (tptp.inverse 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.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse 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)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))) :rule reordering :premises (t371))
% 11.11/11.30  (step t373 (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)))
% 11.11/11.30  (step t374 (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 (t373))
% 11.11/11.30  (step t375 (cl (not (= tptp.sk_c7 (tptp.inverse 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.inverse 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.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule resolution :premises (t23 t25 t266 t274 t105 t113 t121 t129 t140 t151 t282 t290 t175 t183 t191 t199 t207 t215 t315 t274 t105 t282 t290 t175 t183 t191 t199 t215 t16 t322 t324 t348 t274 t105 t282 t290 t175 t183 t191 t199 t215 t372 t274 t105 t282 t290 t175 t183 t191 t199 t215 t374))
% 11.11/11.30  (step t376 (cl (not (= tptp.sk_c7 (tptp.inverse 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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule contraction :premises (t375))
% 11.11/11.30  (step t377 (cl (=> (forall ((X2 $$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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t378)
% 11.11/11.30  (assume t378.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))
% 11.11/11.30  (step t378.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X2 tptp.sk_c1)))
% 11.11/11.30  (step t378.t2 (cl (not (forall ((X2 $$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 (t378.t1))
% 11.11/11.30  (step t378.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 (t378.t2 t378.a0))
% 11.11/11.30  (step t378 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t378.a0))
% 11.11/11.30  (step t379 (cl (=> (forall ((X2 $$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 (t377 t378))
% 11.11/11.30  (step t380 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.11/11.30  (step t381 (cl (=> (forall ((X2 $$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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t379 t380))
% 11.11/11.30  (step t382 (cl (=> (forall ((X2 $$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 (t381))
% 11.11/11.30  (step t383 (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 (t382))
% 11.11/11.30  (step t384 (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)
% 11.11/11.30  (step t385 (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 (t384))
% 11.11/11.30  (step t386 (cl (not (= tptp.sk_c7 (tptp.inverse 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 (t376 t383 t385))
% 11.11/11.30  (step t387 (cl (not (= tptp.sk_c7 (tptp.inverse 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 (t386))
% 11.11/11.30  (step t388 (cl (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 (t235 t387))
% 11.11/11.30  (step t389 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t388))
% 11.11/11.30  (step t390 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t391)
% 11.11/11.30  (assume t391.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.11/11.30  (assume t391.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.11/11.30  (assume t391.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t391.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t391.a4 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t391.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t391.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.11/11.30  (assume t391.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t391.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (assume t391.a9 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t391.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (assume t391.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.11/11.30  (step t391.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg1)
% 11.11/11.30  (anchor :step t391.t2)
% 11.11/11.30  (assume t391.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.30  (assume t391.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.30  (assume t391.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.30  (assume t391.t2.a3 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.30  (assume t391.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.11/11.30  (assume t391.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.11/11.30  (assume t391.t2.a6 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.11/11.30  (assume t391.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.11/11.30  (assume t391.t2.a8 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.30  (assume t391.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.30  (assume t391.t2.a10 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.30  (assume t391.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.30  (step t391.t2.t1 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.11/11.30  (step t391.t2.t2 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t391.t2.a1 t391.t2.t1))
% 11.11/11.30  (step t391.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t391.t2.a1))
% 11.11/11.30  (step t391.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t391.t2.t3 t391.t2.a10))
% 11.11/11.30  (step t391.t2.t5 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t391.t2.a10))
% 11.11/11.30  (step t391.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t391.t2.a2 t391.t2.t5))
% 11.11/11.30  (step t391.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t391.t2.a9))
% 11.11/11.30  (step t391.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule symm :premises (t391.t2.t7))
% 11.11/11.30  (step t391.t2.t9 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.30  (step t391.t2.t10 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t391.t2.a6))
% 11.11/11.30  (step t391.t2.t11 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t391.t2.t10))
% 11.11/11.30  (step t391.t2.t12 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t391.t2.a8))
% 11.11/11.30  (step t391.t2.t13 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t391.t2.a7))
% 11.11/11.30  (step t391.t2.t14 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t391.t2.t13))
% 11.11/11.30  (step t391.t2.t15 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule trans :premises (t391.t2.t12 t391.t2.t14))
% 11.11/11.30  (step t391.t2.t16 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule cong :premises (t391.t2.t11 t391.t2.t15))
% 11.11/11.30  (step t391.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8))) :rule symm :premises (t391.t2.a5))
% 11.11/11.30  (step t391.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t391.t2.a4))
% 11.11/11.30  (step t391.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t391.t2.t18 t391.t2.a3))
% 11.11/11.30  (step t391.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t391.t2.a3))
% 11.11/11.30  (step t391.t2.t21 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t391.t2.a1 t391.t2.t20))
% 11.11/11.30  (step t391.t2.t22 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.30  (step t391.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t391.t2.t3 t391.t2.t22))
% 11.11/11.30  (step t391.t2.t24 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) tptp.sk_c8)) :rule trans :premises (t391.t2.t16 t391.t2.t17 t391.t2.t19 t391.t2.t21 t391.t2.t23 t391.t2.t20))
% 11.11/11.30  (step t391.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t391.t2.t9 t391.t2.t24))
% 11.11/11.30  (step t391.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t391.t2.a2))
% 11.11/11.30  (step t391.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t391.t2.a11))
% 11.11/11.30  (step t391.t2.t28 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t391.t2.t27))
% 11.11/11.30  (step t391.t2.t29 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.identity)) :rule trans :premises (t391.t2.t13 t391.t2.a8 t391.t2.a10 t391.t2.t2 t391.t2.t4 t391.t2.t6 t391.t2.t8 t391.t2.t25 t391.t2.t26))
% 11.11/11.30  (step t391.t2.t30 (cl (= (tptp.inverse tptp.sk_c6) tptp.identity)) :rule trans :premises (t391.t2.t15 t391.t2.t29))
% 11.11/11.30  (step t391.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t391.t2.t30 t391.t2.a0))
% 11.11/11.30  (step t391.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t391.t2.a0))
% 11.11/11.30  (step t391.t2.t33 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t391.t2.a1 t391.t2.t32))
% 11.11/11.30  (step t391.t2.t34 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.30  (step t391.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t391.t2.t3 t391.t2.t34))
% 11.11/11.30  (step t391.t2.t36 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t391.t2.t28 t391.t2.t31 t391.t2.t33 t391.t2.t35 t391.t2.t32))
% 11.11/11.30  (step t391.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t391.t2.t36 t391.t2.t36))
% 11.11/11.30  (step t391.t2.t38 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t391.t2.a1 t391.t2.t37))
% 11.11/11.30  (step t391.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t391.t2.t36 t391.t2.t38))
% 11.11/11.30  (step t391.t2.t40 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule trans :premises (t391.t2.a8 t391.t2.a10 t391.t2.t2 t391.t2.t4 t391.t2.t6 t391.t2.t8 t391.t2.t25 t391.t2.t26 t391.t2.a1 t391.t2.t39))
% 11.11/11.30  (step t391.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule subproof :discharge (t391.t2.a0 t391.t2.a1 t391.t2.a2 t391.t2.a3 t391.t2.a4 t391.t2.a5 t391.t2.a6 t391.t2.a7 t391.t2.a8 t391.t2.a9 t391.t2.a10 t391.t2.a11))
% 11.11/11.30  (step t391.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t391.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.30  (step t391.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t391.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t391.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.11/11.30  (step t391.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.11/11.30  (step t391.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.11/11.30  (step t391.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.11/11.30  (step t391.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.30  (step t391.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.31  (step t391.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.31  (step t391.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t391.t15 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule resolution :premises (t391.t2 t391.t3 t391.t4 t391.t5 t391.t6 t391.t7 t391.t8 t391.t9 t391.t10 t391.t11 t391.t12 t391.t13 t391.t14))
% 11.11/11.31  (step t391.t16 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule reordering :premises (t391.t15))
% 11.11/11.31  (step t391.t17 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t391.t16))
% 11.11/11.31  (step t391.t18 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t391.t1 t391.t17))
% 11.11/11.31  (step t391.t19 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg2)
% 11.11/11.31  (step t391.t20 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t391.t18 t391.t19))
% 11.11/11.31  (step t391.t21 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t391.t20))
% 11.11/11.31  (step t391.t22 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies :premises (t391.t21))
% 11.11/11.31  (step t391.t23 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule and_neg)
% 11.11/11.31  (step t391.t24 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t391.t23 t391.a7 t391.a3 t391.a5 t391.a4 t391.a6 t391.a11 t391.a1 t391.a0 t391.a2 t391.a10 t391.a9 t391.a8))
% 11.11/11.31  (step t391.t25 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t391.t22 t391.t24))
% 11.11/11.31  (step t391 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule subproof :discharge (t391.a0 t391.a1 t391.a2 t391.a3 t391.a4 t391.a5 t391.a6 t391.a7 t391.a8 t391.a9 t391.a10 t391.a11))
% 11.11/11.31  (step t392 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t393 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t394 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t395 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.31  (step t396 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t397 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t398 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t399 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t400 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t401 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.31  (step t402 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.31  (step t403 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.11/11.31  (step t404 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))))) :rule resolution :premises (t391 t392 t393 t394 t395 t396 t397 t398 t399 t400 t401 t402 t403))
% 11.11/11.31  (step t405 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule reordering :premises (t404))
% 11.11/11.31  (step t406 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t405))
% 11.11/11.31  (step t407 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t390 t406))
% 11.11/11.31  (step t408 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg2)
% 11.11/11.31  (step t409 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t407 t408))
% 11.11/11.31  (step t410 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t409))
% 11.11/11.31  (step t411 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies :premises (t410))
% 11.11/11.31  (step t412 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t26 t411))
% 11.11/11.31  (step t413 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule reordering :premises (t412))
% 11.11/11.31  (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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.11/11.31  (anchor :step t415)
% 11.11/11.31  (assume t415.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.11/11.31  (step t415.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c5)) (:= Y tptp.sk_c5) (:= Z tptp.sk_c8)))
% 11.11/11.31  (step t415.t2 (cl (not (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule or :premises (t415.t1))
% 11.11/11.31  (step t415.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t415.t2 t415.a0))
% 11.11/11.31  (step t415 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule subproof :discharge (t415.a0))
% 11.11/11.31  (step t416 (cl (=> (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t414 t415))
% 11.11/11.31  (step t417 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule implies_neg2)
% 11.11/11.31  (step t418 (cl (=> (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule resolution :premises (t416 t417))
% 11.11/11.31  (step t419 (cl (=> (forall ((X $$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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule contraction :premises (t418))
% 11.11/11.31  (step t420 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule implies :premises (t419))
% 11.11/11.31  (step t421 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t420 a2))
% 11.11/11.31  (step t422 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.11/11.31  (anchor :step t423)
% 11.11/11.31  (assume t423.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.11/11.31  (step t423.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.11/11.31  (step t423.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule or :premises (t423.t1))
% 11.11/11.31  (step t423.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t423.t2 t423.a0))
% 11.11/11.31  (step t423 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule subproof :discharge (t423.a0))
% 11.11/11.31  (step t424 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t422 t423))
% 11.11/11.31  (step t425 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg2)
% 11.11/11.31  (step t426 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t424 t425))
% 11.11/11.31  (step t427 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule contraction :premises (t426))
% 11.11/11.31  (step t428 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule implies :premises (t427))
% 11.11/11.31  (step t429 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t428 t139))
% 11.11/11.31  (step t430 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule and_neg)
% 11.11/11.31  (step t431 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule implies_neg1)
% 11.11/11.31  (anchor :step t432)
% 11.11/11.31  (assume t432.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.11/11.31  (assume t432.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.11/11.31  (assume t432.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.31  (assume t432.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.31  (assume t432.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))
% 11.11/11.31  (assume t432.a5 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.31  (assume t432.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.31  (assume t432.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.11/11.31  (assume t432.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.31  (assume t432.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.31  (assume t432.a10 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.31  (assume t432.a11 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.11/11.31  (assume t432.a12 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))
% 11.11/11.31  (assume t432.a13 (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.31  (assume t432.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))
% 11.11/11.31  (assume t432.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.31  (assume t432.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.31  (assume t432.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.11/11.31  (step t432.t1 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 11.11/11.31  (anchor :step t432.t2)
% 11.11/11.31  (assume t432.t2.a0 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.11/11.31  (assume t432.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))
% 11.11/11.31  (assume t432.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))
% 11.11/11.31  (assume t432.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.31  (assume t432.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))))
% 11.11/11.31  (assume t432.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))))
% 11.11/11.31  (assume t432.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.31  (assume t432.t2.a7 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.31  (assume t432.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.11/11.31  (assume t432.t2.a9 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.31  (assume t432.t2.a10 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.31  (assume t432.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.31  (assume t432.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.31  (assume t432.t2.a13 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.11/11.31  (assume t432.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.11/11.31  (assume t432.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.11/11.31  (assume t432.t2.a16 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.31  (assume t432.t2.a17 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.31  (step t432.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.31  (step t432.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t432.t2.a10 t432.t2.t1))
% 11.11/11.31  (step t432.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t432.t2.a10))
% 11.11/11.31  (step t432.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t432.t2.t3 t432.t2.a17))
% 11.11/11.31  (step t432.t2.t5 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.31  (step t432.t2.t6 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.31  (step t432.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t432.t2.a10 t432.t2.t6))
% 11.11/11.31  (step t432.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t432.t2.t3 t432.t2.a16))
% 11.11/11.31  (step t432.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t432.t2.a15))
% 11.11/11.31  (step t432.t2.t10 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t432.t2.t9))
% 11.11/11.31  (step t432.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t432.t2.a16))
% 11.11/11.31  (step t432.t2.t12 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8))) :rule cong :premises (t432.t2.t10 t432.t2.t11))
% 11.11/11.31  (step t432.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8))) :rule symm :premises (t432.t2.a14))
% 11.11/11.31  (step t432.t2.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule symm :premises (t432.t2.t13))
% 11.11/11.31  (step t432.t2.t15 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t432.t2.a13))
% 11.11/11.31  (step t432.t2.t16 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t432.t2.t15))
% 11.11/11.31  (step t432.t2.t17 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t432.t2.t16))
% 11.11/11.31  (step t432.t2.t18 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t432.t2.a8))
% 11.11/11.31  (step t432.t2.t19 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t432.t2.t18))
% 11.11/11.31  (step t432.t2.t20 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t432.t2.t19))
% 11.11/11.31  (step t432.t2.t21 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t432.t2.a7))
% 11.11/11.31  (step t432.t2.t22 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule symm :premises (t432.t2.t21))
% 11.11/11.31  (step t432.t2.t23 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) (tptp.inverse tptp.sk_c6))) :rule trans :premises (t432.t2.t20 t432.t2.t22))
% 11.11/11.31  (step t432.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t432.t2.t17 t432.t2.t23))
% 11.11/11.31  (step t432.t2.t25 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) :rule trans :premises (t432.t2.a16 t432.t2.t7 t432.t2.t8 t432.t2.t12 t432.t2.t14 t432.t2.t24))
% 11.11/11.31  (step t432.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t432.t2.t5 t432.t2.t25))
% 11.11/11.31  (step t432.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t432.t2.a12))
% 11.11/11.31  (step t432.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule symm :premises (t432.t2.t27))
% 11.11/11.31  (step t432.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t432.t2.t28))
% 11.11/11.31  (step t432.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t432.t2.a11))
% 11.11/11.31  (step t432.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t432.t2.t30 t432.t2.a9))
% 11.11/11.31  (step t432.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t432.t2.a9))
% 11.11/11.31  (step t432.t2.t33 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t432.t2.a10 t432.t2.t32))
% 11.11/11.31  (step t432.t2.t34 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.11/11.31  (step t432.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t432.t2.t3 t432.t2.t34))
% 11.11/11.31  (step t432.t2.t36 (cl (= tptp.identity (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule trans :premises (t432.t2.a11 t432.t2.t26 t432.t2.t29 t432.t2.t31 t432.t2.t33 t432.t2.t35 t432.t2.t32 t432.t2.t21 t432.t2.t19))
% 11.11/11.31  (step t432.t2.t37 (cl (= tptp.identity (tptp.inverse tptp.sk_c6))) :rule trans :premises (t432.t2.t36 t432.t2.t23))
% 11.11/11.31  (step t432.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t432.t2.a17))
% 11.11/11.31  (step t432.t2.t39 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t432.t2.t37 t432.t2.t38))
% 11.11/11.31  (step t432.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t432.t2.a6))
% 11.11/11.31  (step t432.t2.t41 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t432.t2.t40))
% 11.11/11.31  (step t432.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t432.t2.t41))
% 11.11/11.31  (step t432.t2.t43 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.inverse tptp.identity)))) :rule refl)
% 11.11/11.31  (step t432.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.identity)) :rule symm :premises (t432.t2.a1))
% 11.11/11.31  (step t432.t2.t45 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) :rule refl)
% 11.11/11.31  (step t432.t2.t46 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule cong :premises (t432.t2.t44 t432.t2.t45))
% 11.11/11.31  (step t432.t2.t47 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t432.t2.t46))
% 11.11/11.31  (step t432.t2.t48 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule cong :premises (t432.t2.t45 t432.t2.a0))
% 11.11/11.31  (step t432.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t432.t2.t48))
% 11.11/11.31  (step t432.t2.t50 (cl (= (tptp.inverse tptp.identity) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule trans :premises (t432.t2.a0 t432.t2.t47 t432.t2.a2 t432.t2.t49))
% 11.11/11.31  (step t432.t2.t51 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule cong :premises (t432.t2.t43 t432.t2.t50))
% 11.11/11.31  (step t432.t2.t52 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule symm :premises (t432.t2.a5))
% 11.11/11.31  (step t432.t2.t53 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) tptp.identity)) :rule symm :premises (t432.t2.a4))
% 11.11/11.31  (step t432.t2.t54 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule cong :premises (t432.t2.t53 t432.t2.t50))
% 11.11/11.31  (step t432.t2.t55 (cl (= (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule symm :premises (t432.t2.a3))
% 11.11/11.31  (step t432.t2.t56 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) :rule symm :premises (t432.t2.a0))
% 11.11/11.31  (step t432.t2.t57 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) :rule cong :premises (t432.t2.t56 t432.t2.t45))
% 11.11/11.31  (step t432.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)))) :rule symm :premises (t432.t2.a2))
% 11.11/11.31  (step t432.t2.t59 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule trans :premises (t432.t2.a17 t432.t2.t2 t432.t2.t4 t432.t2.t39 t432.t2.t42 t432.t2.a4 t432.t2.t51 t432.t2.t52 t432.t2.t54 t432.t2.t55 t432.t2.t57 t432.t2.t48 t432.t2.t58 t432.t2.t46 t432.t2.t56))
% 11.11/11.31  (step t432.t2 (cl (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (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.inverse tptp.identity))) :rule subproof :discharge (t432.t2.a0 t432.t2.a1 t432.t2.a2 t432.t2.a3 t432.t2.a4 t432.t2.a5 t432.t2.a6 t432.t2.a7 t432.t2.a8 t432.t2.a9 t432.t2.a10 t432.t2.a11 t432.t2.a12 t432.t2.a13 t432.t2.a14 t432.t2.a15 t432.t2.a16 t432.t2.a17))
% 11.11/11.31  (step t432.t3 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.31  (step t432.t4 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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.identity) tptp.identity))) :rule and_pos)
% 11.11/11.31  (step t432.t5 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.31  (step t432.t6 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.31  (step t432.t7 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.31  (step t432.t8 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.31  (step t432.t9 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t432.t10 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t432.t11 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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_c5 tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t432.t12 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.31  (step t432.t13 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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.identity tptp.identity))) :rule and_pos)
% 11.11/11.31  (step t432.t14 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t432.t15 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.31  (step t432.t16 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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_c5))) :rule and_pos)
% 11.11/11.31  (step t432.t17 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.11/11.31  (step t432.t18 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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_c5) tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t432.t19 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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)
% 11.11/11.31  (step t432.t20 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= 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)
% 11.11/11.31  (step t432.t21 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t432.t2 t432.t3 t432.t4 t432.t5 t432.t6 t432.t7 t432.t8 t432.t9 t432.t10 t432.t11 t432.t12 t432.t13 t432.t14 t432.t15 t432.t16 t432.t17 t432.t18 t432.t19 t432.t20))
% 11.11/11.31  (step t432.t22 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t432.t21))
% 11.11/11.31  (step t432.t23 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t432.t22))
% 11.11/11.31  (step t432.t24 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t432.t1 t432.t23))
% 11.11/11.31  (step t432.t25 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.11/11.31  (step t432.t26 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t432.t24 t432.t25))
% 11.11/11.31  (step t432.t27 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t432.t26))
% 11.11/11.31  (step t432.t28 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t432.t27))
% 11.11/11.31  (step t432.t29 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (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)
% 11.11/11.31  (step t432.t30 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t432.t29 t432.a11 t432.a4 t432.a14 t432.a13 t432.a12 t432.a15 t432.a9 t432.a2 t432.a0 t432.a10 t432.a3 t432.a6 t432.a16 t432.a1 t432.a17 t432.a7 t432.a5 t432.a8))
% 11.11/11.31  (step t432.t31 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t432.t28 t432.t30))
% 11.11/11.31  (step t432 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule subproof :discharge (t432.a0 t432.a1 t432.a2 t432.a3 t432.a4 t432.a5 t432.a6 t432.a7 t432.a8 t432.a9 t432.a10 t432.a11 t432.a12 t432.a13 t432.a14 t432.a15 t432.a16 t432.a17))
% 11.11/11.31  (step t433 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t434 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t435 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t436 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.31  (step t437 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule and_pos)
% 11.11/11.31  (step t438 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t439 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t440 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t441 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t442 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t443 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.31  (step t444 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.31  (step t445 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.11/11.31  (step t446 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.31  (step t447 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.31  (step t448 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) :rule and_pos)
% 11.11/11.31  (step t449 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.31  (step t450 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.11/11.31  (step t451 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))))) :rule resolution :premises (t432 t433 t434 t435 t436 t437 t438 t439 t440 t441 t442 t443 t444 t445 t446 t447 t448 t449 t450))
% 11.11/11.31  (step t452 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule reordering :premises (t451))
% 11.11/11.31  (step t453 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule contraction :premises (t452))
% 11.11/11.31  (step t454 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t431 t453))
% 11.11/11.31  (step t455 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 11.11/11.31  (step t456 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule resolution :premises (t454 t455))
% 11.11/11.31  (step t457 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.identity)))) :rule contraction :premises (t456))
% 11.11/11.31  (step t458 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule implies :premises (t457))
% 11.11/11.31  (step t459 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t430 t458))
% 11.11/11.31  (step t460 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply tptp.identity (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.identity)) (tptp.multiply (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.identity)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule reordering :premises (t459))
% 11.11/11.31  (step t461 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule implies_neg1)
% 11.11/11.31  (anchor :step t462)
% 11.11/11.31  (assume t462.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.11/11.31  (assume t462.a1 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.11/11.31  (assume t462.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.31  (assume t462.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.31  (assume t462.a4 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.31  (assume t462.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.31  (assume t462.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.11/11.31  (assume t462.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.31  (assume t462.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.31  (assume t462.a9 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.31  (assume t462.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.31  (assume t462.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.11/11.31  (step t462.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 11.11/11.31  (anchor :step t462.t2)
% 11.11/11.31  (assume t462.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.31  (assume t462.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.31  (assume t462.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.31  (step t462.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t462.t2.a2))
% 11.11/11.31  (step t462.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t462.t2.t1))
% 11.11/11.31  (step t462.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t462.t2.a1))
% 11.11/11.31  (step t462.t2.t4 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t462.t2.a0))
% 11.11/11.31  (step t462.t2.t5 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule symm :premises (t462.t2.t4))
% 11.11/11.31  (step t462.t2.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule trans :premises (t462.t2.t2 t462.t2.t3 t462.t2.t5))
% 11.11/11.31  (step t462.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t462.t2.a0 t462.t2.a1 t462.t2.a2))
% 11.11/11.31  (step t462.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t462.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t462.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t462.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t462.t2 t462.t3 t462.t4 t462.t5))
% 11.11/11.31  (step t462.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t462.t6))
% 11.11/11.31  (step t462.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t462.t7))
% 11.11/11.31  (step t462.t9 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t462.t1 t462.t8))
% 11.11/11.31  (step t462.t10 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.31  (step t462.t11 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t462.t9 t462.t10))
% 11.11/11.31  (step t462.t12 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t462.t11))
% 11.11/11.31  (step t462.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t462.t12))
% 11.11/11.31  (step t462.t14 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 11.11/11.31  (step t462.t15 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg1)
% 11.11/11.31  (anchor :step t462.t16)
% 11.11/11.31  (assume t462.t16.a0 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.11/11.31  (assume t462.t16.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.11/11.31  (assume t462.t16.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.11/11.31  (assume t462.t16.a3 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.11/11.31  (assume t462.t16.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.11/11.31  (assume t462.t16.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))
% 11.11/11.31  (assume t462.t16.a6 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.11/11.31  (assume t462.t16.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.11/11.31  (assume t462.t16.a8 (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))
% 11.11/11.31  (assume t462.t16.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))))
% 11.11/11.31  (assume t462.t16.a10 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.11/11.31  (assume t462.t16.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.11/11.31  (step t462.t16.t1 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.11/11.31  (step t462.t16.t2 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t462.t16.a0 t462.t16.t1))
% 11.11/11.31  (step t462.t16.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t462.t16.a0))
% 11.11/11.31  (step t462.t16.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) (tptp.inverse tptp.sk_c6)) (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t462.t16.t3 t462.t16.a10))
% 11.11/11.31  (step t462.t16.t5 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t462.t16.a10))
% 11.11/11.31  (step t462.t16.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule cong :premises (t462.t16.a2 t462.t16.t5))
% 11.11/11.31  (step t462.t16.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)))) :rule symm :premises (t462.t16.a9))
% 11.11/11.31  (step t462.t16.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule symm :premises (t462.t16.t7))
% 11.11/11.31  (step t462.t16.t9 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.11/11.31  (step t462.t16.t10 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t462.t16.a6))
% 11.11/11.31  (step t462.t16.t11 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t462.t16.t10))
% 11.11/11.31  (step t462.t16.t12 (cl (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t462.t16.a8))
% 11.11/11.31  (step t462.t16.t13 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) :rule symm :premises (t462.t16.a7))
% 11.11/11.31  (step t462.t16.t14 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t462.t16.t13))
% 11.11/11.31  (step t462.t16.t15 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule trans :premises (t462.t16.t12 t462.t16.t14))
% 11.11/11.31  (step t462.t16.t16 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule cong :premises (t462.t16.t11 t462.t16.t15))
% 11.11/11.31  (step t462.t16.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8))) :rule symm :premises (t462.t16.a5))
% 11.11/11.31  (step t462.t16.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t462.t16.a4))
% 11.11/11.31  (step t462.t16.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)))) :rule cong :premises (t462.t16.t18 t462.t16.a3))
% 11.11/11.31  (step t462.t16.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t462.t16.a3))
% 11.11/11.31  (step t462.t16.t21 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c8)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8))) :rule cong :premises (t462.t16.a0 t462.t16.t20))
% 11.11/11.31  (step t462.t16.t22 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.11/11.31  (step t462.t16.t23 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t462.t16.t3 t462.t16.t22))
% 11.11/11.31  (step t462.t16.t24 (cl (= (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)) tptp.sk_c8)) :rule trans :premises (t462.t16.t16 t462.t16.t17 t462.t16.t19 t462.t16.t21 t462.t16.t23 t462.t16.t20))
% 11.11/11.31  (step t462.t16.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t462.t16.t9 t462.t16.t24))
% 11.11/11.31  (step t462.t16.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t462.t16.a2))
% 11.11/11.31  (step t462.t16.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t462.t16.a11))
% 11.11/11.31  (step t462.t16.t28 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t462.t16.t27))
% 11.11/11.31  (step t462.t16.t29 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.identity)) :rule trans :premises (t462.t16.t13 t462.t16.a8 t462.t16.a10 t462.t16.t2 t462.t16.t4 t462.t16.t6 t462.t16.t8 t462.t16.t25 t462.t16.t26))
% 11.11/11.31  (step t462.t16.t30 (cl (= (tptp.inverse tptp.sk_c6) tptp.identity)) :rule trans :premises (t462.t16.t15 t462.t16.t29))
% 11.11/11.31  (step t462.t16.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t462.t16.t30 t462.t16.a1))
% 11.11/11.31  (step t462.t16.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t462.t16.a1))
% 11.11/11.31  (step t462.t16.t33 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t462.t16.a0 t462.t16.t32))
% 11.11/11.31  (step t462.t16.t34 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.11/11.31  (step t462.t16.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t462.t16.t3 t462.t16.t34))
% 11.11/11.31  (step t462.t16.t36 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule trans :premises (t462.t16.a8 t462.t16.a10 t462.t16.t2 t462.t16.t4 t462.t16.t6 t462.t16.t8 t462.t16.t25 t462.t16.t26 t462.t16.t28 t462.t16.t31 t462.t16.t33 t462.t16.t35))
% 11.11/11.31  (step t462.t16 (cl (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t462.t16.a0 t462.t16.a1 t462.t16.a2 t462.t16.a3 t462.t16.a4 t462.t16.a5 t462.t16.a6 t462.t16.a7 t462.t16.a8 t462.t16.a9 t462.t16.a10 t462.t16.a11))
% 11.11/11.31  (step t462.t17 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.31  (step t462.t18 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t462.t19 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t462.t20 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t462.t21 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t462.t22 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.11/11.31  (step t462.t23 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t462.t24 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t462.t25 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t462.t26 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.31  (step t462.t27 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.31  (step t462.t28 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t462.t29 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))))) :rule resolution :premises (t462.t16 t462.t17 t462.t18 t462.t19 t462.t20 t462.t21 t462.t22 t462.t23 t462.t24 t462.t25 t462.t26 t462.t27 t462.t28))
% 11.11/11.31  (step t462.t30 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule reordering :premises (t462.t29))
% 11.11/11.31  (step t462.t31 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule contraction :premises (t462.t30))
% 11.11/11.31  (step t462.t32 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t462.t15 t462.t31))
% 11.11/11.31  (step t462.t33 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.31  (step t462.t34 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t462.t32 t462.t33))
% 11.11/11.31  (step t462.t35 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t462.t34))
% 11.11/11.31  (step t462.t36 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t462.t35))
% 11.11/11.31  (step t462.t37 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule and_neg)
% 11.11/11.31  (step t462.t38 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t462.t37 t462.a3 t462.a7 t462.a5 t462.a4 t462.a6 t462.a11 t462.a1 t462.a0 t462.a2 t462.a10 t462.a9 t462.a8))
% 11.11/11.31  (step t462.t39 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t462.t36 t462.t38))
% 11.11/11.31  (step t462.t40 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t462.t14 t462.a2 t462.t39 t462.a7))
% 11.11/11.31  (step t462.t41 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t462.t13 t462.t40))
% 11.11/11.31  (step t462 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t462.a0 t462.a1 t462.a2 t462.a3 t462.a4 t462.a5 t462.a6 t462.a7 t462.a8 t462.a9 t462.a10 t462.a11))
% 11.11/11.31  (step t463 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t464 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t465 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t466 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.11/11.31  (step t467 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t468 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.11/11.31  (step t469 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.11/11.31  (step t470 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t471 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.11/11.31  (step t472 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.11/11.31  (step t473 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) :rule and_pos)
% 11.11/11.31  (step t474 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_pos)
% 11.11/11.31  (step t475 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))))) :rule resolution :premises (t462 t463 t464 t465 t466 t467 t468 t469 t470 t471 t472 t473 t474))
% 11.11/11.31  (step t476 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t475))
% 11.11/11.31  (step t477 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t476))
% 11.11/11.31  (step t478 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t461 t477))
% 11.11/11.31  (step t479 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.11/11.31  (step t480 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t478 t479))
% 11.11/11.31  (step t481 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t480))
% 11.11/11.31  (step t482 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t481))
% 11.11/11.31  (step t483 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t26 t482))
% 11.11/11.31  (step t484 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.inverse tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.inverse tptp.sk_c6))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c5) (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule reordering :premises (t483))
% 11.11/11.31  (step t485 (cl (not (= tptp.sk_c7 (tptp.inverse 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_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule resolution :premises (t16 t322 t23 t324 t25 t413 t421 t274 t282 t290 t175 t429 t183 t191 t215 t460 t421 t274 t113 t121 t129 t140 t151 t282 t290 t175 t429 t183 t191 t207 t215 t484 t421 t274 t282 t290 t175 t429 t183 t191 t215 t50 t421 t274 t282 t290 t175 t429 t183 t191 t215 t374))
% 11.11/11.31  (step t486 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule contraction :premises (t485))
% 11.11/11.31  (step t487 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) :rule implies_neg1)
% 11.11/11.31  (anchor :step t488)
% 11.11/11.31  (assume t488.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))
% 11.11/11.31  (step t488.t1 (cl (or (not (forall ((X2 $$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_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))))) :rule forall_inst :args ((:= X2 tptp.sk_c5)))
% 11.11/11.31  (step t488.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule or :premises (t488.t1))
% 11.11/11.31  (step t488.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule resolution :premises (t488.t2 t488.a0))
% 11.11/11.31  (step t488 (cl (not (forall ((X2 $$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_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule subproof :discharge (t488.a0))
% 11.11/11.31  (step t489 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule resolution :premises (t487 t488))
% 11.11/11.31  (step t490 (cl (=> (forall ((X2 $$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_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))))) :rule implies_neg2)
% 11.11/11.31  (step t491 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (=> (forall ((X2 $$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_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))))) :rule resolution :premises (t489 t490))
% 11.11/11.31  (step t492 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))))) :rule contraction :premises (t491))
% 11.11/11.31  (step t493 (cl (not (forall ((X2 $$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_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule implies :premises (t492))
% 11.11/11.31  (step t494 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule or_pos)
% 11.11/11.31  (step t495 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))))) :rule reordering :premises (t494))
% 11.11/11.31  (step t496 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t486 t493 t495))
% 11.11/11.31  (step t497 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule contraction :premises (t496))
% 11.11/11.31  (step t498 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.11/11.31  (step t499 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 11.11/11.31  (step t500 (cl (= (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule all_simplify)
% 11.11/11.31  (step t501 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t499 t500))
% 11.11/11.31  (step t502 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t498 t501 a6))
% 11.11/11.31  (step t503 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t502))
% 11.11/11.31  (step t504 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t503))
% 11.11/11.31  (step t505 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule equiv_pos2)
% 11.11/11.31  (step t506 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))))) :rule cong :premises (t499 t53))
% 11.11/11.31  (step t507 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t505 t506 a8))
% 11.11/11.31  (step t508 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule or :premises (t507))
% 11.11/11.31  (step t509 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t508))
% 11.11/11.31  (step t510 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.11/11.31  (step t511 (cl (= (= (tptp.inverse tptp.sk_c5) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule all_simplify)
% 11.11/11.31  (step t512 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c8) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t499 t511))
% 11.11/11.31  (step t513 (cl (or (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t510 t512 a7))
% 11.11/11.31  (step t514 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t513))
% 11.11/11.31  (step t515 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t514))
% 11.11/11.31  (step t516 (cl (= 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 (t497 t504 t509 t515))
% 11.11/11.31  (step t517 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t516))
% 11.11/11.31  (step t518 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)))) :rule resolution :premises (t389 t517))
% 11.11/11.31  (step t519 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t56 t518))
% 11.11/11.31  (step t520 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 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_c5 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 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_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.11/11.31  (step t521 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.multiply tptp.sk_c5 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_c5 tptp.sk_c8))))) :rule cong :premises (t52 t500))
% 11.11/11.31  (step t522 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t520 t521 a3))
% 11.11/11.31  (step t523 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t522))
% 11.11/11.31  (step t524 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule resolution :premises (t523 t518))
% 11.11/11.31  (step t525 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.11/11.31  (step t526 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c8) tptp.sk_c7) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t52 t511))
% 11.11/11.31  (step t527 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t525 t526 a4))
% 11.11/11.31  (step t528 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t527))
% 11.11/11.31  (step t529 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t528 t518))
% 11.11/11.31  (step t530 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t50 t519 t524 t529 t215 t191 t183 t429 t175 t290 t282 t274 t421))
% 11.11/11.31  (step t531 (cl (= tptp.sk_c6 (tptp.inverse tptp.identity))) :rule resolution :premises (t460 t519 t524 t529 t215 t207 t191 t183 t429 t175 t290 t282 t151 t140 t129 t121 t113 t274 t421))
% 11.11/11.31  (step t532 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t25 t530 t531))
% 11.11/11.31  (step t533 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X3))))))) :rule resolution :premises (t23 t532))
% 11.11/11.31  (step t534 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t413 t519 t524 t529 t215 t191 t183 t429 t175 t290 t282 t274 t421))
% 11.11/11.31  (step t535 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t484 t519 t524 t529 t215 t191 t183 t429 t175 t290 t282 t274 t421))
% 11.11/11.31  (step t536 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule resolution :premises (t324 t534 t535))
% 11.11/11.31  (step t537 (cl (not (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 (tptp.multiply X5 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse X5))))))) :rule resolution :premises (t322 t536))
% 11.11/11.31  (step t538 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))))) :rule resolution :premises (t495 t524 t529))
% 11.11/11.31  (step t539 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))) :rule resolution :premises (t493 t538))
% 11.11/11.31  (step t540 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X1))))))) :rule resolution :premises (t374 t539))
% 11.11/11.31  (step t541 (cl) :rule resolution :premises (t16 t533 t537 t539 t519 t540))
% 11.11/11.31  
% 11.11/11.31  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.vEeUjFjDNT/cvc5---1.0.5_23114.smt2
% 11.11/11.31  % cvc5---1.0.5 exiting
% 11.11/11.31  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------